LLMsForHepth/hep-th_perplexities · Datasets at Hugging Face

1309.1285

Diederik Roest

Universality classes of inflation

5 pages, 1 figure; v2: minor clarifications, refs added, JCAP version

JCAP 01 (2014) 007

10.1088/1475-7516/2014/01/007

null

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

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

We investigate all single-field, slow-roll inflationary models whose slow-roll parameters scale as 1/N in the limit of a large number of e-folds N. We proof that all such models belong to two universality classes, characterised by a single parameter. One class contains small field models like hilltop inflation, while the other class consists of large field models like chaotic inflation. We give the leading expressions for the spectral index and tensor-to-scalar ratio r, which are universal for each class, plus subleading corrections for a number of models. This predicts r either to be unobservably small, r<0.01, or close to the present observational limit, r~0.07.

[ { "created": "Thu, 5 Sep 2013 09:07:38 GMT", "version": "v1" }, { "created": "Mon, 23 Dec 2013 15:52:46 GMT", "version": "v2" } ]

2015-06-17

[ [ "Roest", "Diederik", "" ] ]

We investigate all single-field, slow-roll inflationary models whose slow-roll parameters scale as 1/N in the limit of a large number of e-folds N. We proof that all such models belong to two universality classes, characterised by a single parameter. One class contains small field models like hilltop inflation, while the other class consists of large field models like chaotic inflation. We give the leading expressions for the spectral index and tensor-to-scalar ratio r, which are universal for each class, plus subleading corrections for a number of models. This predicts r either to be unobservably small, r<0.01, or close to the present observational limit, r~0.07.

6.594547

6.191249

6.50154

5.979364

6.406497

6.079878

6.785987

5.81537

5.983528

6.525815

5.983646

6.378776

6.326006

6.277234

6.154729

6.164063

6.14102

6.288815

6.192978

6.265495

6.06211

0812.3551

Paul Koerber

Claudio Caviezel, Paul Koerber, Simon Kors, Dieter Lust, Timm Wrase and Marco Zagermann

On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds

LaTeX, 22 pages plus appendix; v2: references added, minor changes

JHEP 0904:010,2009

10.1088/1126-6708/2009/04/010

MPP-2008-165, LMU-ASC 64/08, ESI-2105

hep-th

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

We study cosmological properties of type IIA compactifications on orientifolds of SU(3)-structure manifolds with non-vanishing geometric flux. These compactifications give rise to effective 4D N=1 supergravity theories that do not fall under some recently-proven no-go theorems against de Sitter vacua and slow-roll inflation. Focusing on a well-understood class of models based on coset spaces, however, we can use a refined no-go theorem that rules out de Sitter vacua and slow-roll inflation in all but one case. The refined no-go theorem uses the dilaton and a specific linear combination of the Kaehler moduli, which is different from the overall volume modulus. It puts a lower bound on the first slow-roll parameter: epsilon>=2. The only case not ruled out is the manifold SU(2)x SU(2), for which we indeed find critical points with epsilon numerically zero. However, all the points we could find have a tachyon corresponding to an eta-parameter eta<= -2.4.

[ { "created": "Thu, 18 Dec 2008 20:51:15 GMT", "version": "v1" }, { "created": "Fri, 9 Jan 2009 13:15:33 GMT", "version": "v2" } ]

2009-04-17

[ [ "Caviezel", "Claudio", "" ], [ "Koerber", "Paul", "" ], [ "Kors", "Simon", "" ], [ "Lust", "Dieter", "" ], [ "Wrase", "Timm", "" ], [ "Zagermann", "Marco", "" ] ]

We study cosmological properties of type IIA compactifications on orientifolds of SU(3)-structure manifolds with non-vanishing geometric flux. These compactifications give rise to effective 4D N=1 supergravity theories that do not fall under some recently-proven no-go theorems against de Sitter vacua and slow-roll inflation. Focusing on a well-understood class of models based on coset spaces, however, we can use a refined no-go theorem that rules out de Sitter vacua and slow-roll inflation in all but one case. The refined no-go theorem uses the dilaton and a specific linear combination of the Kaehler moduli, which is different from the overall volume modulus. It puts a lower bound on the first slow-roll parameter: epsilon>=2. The only case not ruled out is the manifold SU(2)x SU(2), for which we indeed find critical points with epsilon numerically zero. However, all the points we could find have a tachyon corresponding to an eta-parameter eta<= -2.4.

9.057284

8.655512

9.904574

8.293412

8.358762

8.019365

8.524277

7.933161

7.858898

10.55985

7.895512

8.346897

8.900151

8.141517

8.115393

8.270482

8.230382

7.847246

8.129286

8.973488

8.047565

hep-th/9809155

Manuel Calixto

V. Aldaya, M. Calixto and J.M. Cervero

Vacuum Radiation in Conformally Invariant Quantum Field Theory

Latex, 3 pages with no figures. Uses style file sprocl.sty. Contribution to the 5th International Wigner Symposium, Viena (Austria) August 1997. World Scientific, Singapore, Eds. P. Kasperkovitz and D. Grau (1998) ISBN: 981-02-3464-3, pags. 201-203

null

hep-th

null

Although the whole conformal group $SO(4,2)$ can be considered as a symmetry in a classical massless field theory, the subgroup of special conformal transformations (SCT), usually related to transitions to uniformly accelerated frames, causes vacuum radiation in the corresponding quantum field theory, in analogy to the Fulling-Unruh effect. The spectrum of the outgoing particles can be calculated exactly and proves to be a generalization of the Planckian one.

[ { "created": "Mon, 21 Sep 1998 16:08:05 GMT", "version": "v1" } ]

2007-05-23

[ [ "Aldaya", "V.", "" ], [ "Calixto", "M.", "" ], [ "Cervero", "J. M.", "" ] ]

Although the whole conformal group $SO(4,2)$ can be considered as a symmetry in a classical massless field theory, the subgroup of special conformal transformations (SCT), usually related to transitions to uniformly accelerated frames, causes vacuum radiation in the corresponding quantum field theory, in analogy to the Fulling-Unruh effect. The spectrum of the outgoing particles can be calculated exactly and proves to be a generalization of the Planckian one.

12.982081

13.627274

12.42372

11.431735

13.69203

13.290744

12.302728

12.520097

12.391225

13.502725

13.182489

11.684636

12.041166

12.569489

12.09528

11.513501

11.602759

11.760672

11.974947

11.806411

13.065777

1407.7054

Athanasios Chatzistavrakidis

Dynamical phase space from a SO(d,d) matrix model

6 pages; clarifying changes and references added; published in the Rapid Communications section of Phys. Rev. D

Phys. Rev. D 90, (2014) 121502(R)

10.1103/PhysRevD.90.121502

ITP-UH-11/14

hep-th

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

It is shown that a matrix model with SO(d,d) global symmetry is derived from a generalized Yang-Mills theory on the standard Courant algebroid. This model keeps all the positive features of the well-studied type IIB matrix model, and it has many additional welcome properties. We show that it does not only capture the dynamics of spacetime, but it should be associated with the dynamics of phase space. This is supported by a large set of classical solutions of its equations of motion, which corresponds to phase spaces of noncommutative curved manifolds and points to a new mechanism of emergent gravity. The model possesses an additional symmetry that exchanges positions and momenta, in analogy to quantum mechanics. It is argued that the emergence of phase space in the model is an essential feature for the investigation of the precise relation of matrix models to string theory and quantum gravity.

[ { "created": "Fri, 25 Jul 2014 20:48:40 GMT", "version": "v1" }, { "created": "Mon, 2 Feb 2015 16:23:57 GMT", "version": "v2" } ]

2015-02-03

[ [ "Chatzistavrakidis", "Athanasios", "" ] ]

It is shown that a matrix model with SO(d,d) global symmetry is derived from a generalized Yang-Mills theory on the standard Courant algebroid. This model keeps all the positive features of the well-studied type IIB matrix model, and it has many additional welcome properties. We show that it does not only capture the dynamics of spacetime, but it should be associated with the dynamics of phase space. This is supported by a large set of classical solutions of its equations of motion, which corresponds to phase spaces of noncommutative curved manifolds and points to a new mechanism of emergent gravity. The model possesses an additional symmetry that exchanges positions and momenta, in analogy to quantum mechanics. It is argued that the emergence of phase space in the model is an essential feature for the investigation of the precise relation of matrix models to string theory and quantum gravity.

9.881042

9.275367

9.943725

9.030576

9.313131

9.642241

9.618039

9.233887

8.959176

10.165894

9.134638

9.073222

9.367466

9.08073

9.239025

9.146068

9.250844

9.318575

8.913857

9.029822

9.241528

1502.05138

Junyu Liu

Junyu Liu, Yi Wang, Siyi Zhou

Inflation with Massive Vector Fields

18 pages, 2 figures

JCAP 1508 (2015) 033

10.1088/1475-7516/2015/08/033

null

hep-th astro-ph.CO gr-qc

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

We investigate the coupling between the inflaton and massive vector fields. All renormalizable couplings with shift symmetry of the inflaton are considered. The massive vector can be decomposed into a scalar mode and a divergence-free vector mode. We show that the former naturally interacts with the inflaton and the latter decouples at tree level. The model in general predicts $f_{NL}^\mathrm{equil} = \mathcal{O}(1)$, while in some regions of the parameter space large non-Gaussianity can arise.

[ { "created": "Wed, 18 Feb 2015 07:04:24 GMT", "version": "v1" }, { "created": "Thu, 26 Feb 2015 09:26:49 GMT", "version": "v2" } ]

2015-08-24

[ [ "Liu", "Junyu", "" ], [ "Wang", "Yi", "" ], [ "Zhou", "Siyi", "" ] ]

We investigate the coupling between the inflaton and massive vector fields. All renormalizable couplings with shift symmetry of the inflaton are considered. The massive vector can be decomposed into a scalar mode and a divergence-free vector mode. We show that the former naturally interacts with the inflaton and the latter decouples at tree level. The model in general predicts $f_{NL}^\mathrm{equil} = \mathcal{O}(1)$, while in some regions of the parameter space large non-Gaussianity can arise.

7.290032

7.137948

6.669882

6.80956

7.542473

7.033363

6.614588

6.540158

7.096891

7.390506

6.645779

7.262536

6.966302

6.807756

6.844538

7.253948

6.781334

6.912106

7.022599

6.721925

6.750926

1910.04766

Jaroslav Trnka

Karol Kampf, Jiri Novotny, Mikhail Shifman, Jaroslav Trnka

New Soft Theorems for Goldstone Boson Amplitudes

5 pages, 2 figures

Phys. Rev. Lett. 124, 111601 (2020)

10.1103/PhysRevLett.124.111601

null

hep-th

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

In this letter we discuss new soft theorems for the Goldstone boson amplitudes with non-vanishing soft limits. The standard argument is that the non-linearly realized shift symmetry leads to the vanishing of scattering amplitudes in the soft limit, known as the Alder zero. This statement involves certain assumptions of the absence of cubic vertices and the absence of linear terms in the transformations of fields. For theories which fail to satisfy these conditions, we derive a new soft theorem which involves certain linear combinations of lower point amplitudes, generalizing the Adler zero statement. We provide an explicit example of $SU(N)/SU(N-1)$ sigma model which was also recently studied in the context of $U(1)$ fibrated models. The soft theorem can be then used as an input into the modified soft recursion relations for the reconstruction of all tree-level amplitudes.

[ { "created": "Thu, 10 Oct 2019 18:00:01 GMT", "version": "v1" } ]

2020-03-25

[ [ "Kampf", "Karol", "" ], [ "Novotny", "Jiri", "" ], [ "Shifman", "Mikhail", "" ], [ "Trnka", "Jaroslav", "" ] ]

In this letter we discuss new soft theorems for the Goldstone boson amplitudes with non-vanishing soft limits. The standard argument is that the non-linearly realized shift symmetry leads to the vanishing of scattering amplitudes in the soft limit, known as the Alder zero. This statement involves certain assumptions of the absence of cubic vertices and the absence of linear terms in the transformations of fields. For theories which fail to satisfy these conditions, we derive a new soft theorem which involves certain linear combinations of lower point amplitudes, generalizing the Adler zero statement. We provide an explicit example of $SU(N)/SU(N-1)$ sigma model which was also recently studied in the context of $U(1)$ fibrated models. The soft theorem can be then used as an input into the modified soft recursion relations for the reconstruction of all tree-level amplitudes.

11.171116

12.186768

10.532573

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11.207451

10.978391

11.087382

10.917859

11.019593

11.045113

10.295725

10.12412

10.085637

10.042957

10.173635

9.951483

9.849209

10.137704

9.77163

10.021607

9.638398

0708.2471

J. C. Wallet

Jean-Christophe Wallet

Noncommutative Induced Gauge Theories on Moyal Spaces

24 pages, 6 figures. Talk given at the "International Conference on Noncommutative Geometry and Physics", April 2007, Orsay (France). References updated. To appear in J. Phys. Conf. Ser

J.Phys.Conf.Ser.103:012007,2008

10.1088/1742-6596/103/1/012007

null

hep-th math-ph math.MP

null

Noncommutative field theories on Moyal spaces can be conveniently handled within a framework of noncommutative geometry. Several renormalisable matter field theories that are now identified are briefly reviewed. The construction of renormalisable gauge theories on these noncommutative Moyal spaces, which remains so far a challenging problem, is then closely examined. The computation in 4-D of the one-loop effective gauge theory generated from the integration over a scalar field appearing in a renormalisable theory minimally coupled to an external gauge potential is presented. The gauge invariant effective action is found to involve, beyond the expected noncommutative version of the pure Yang-Mills action, additional terms that may be interpreted as the gauge theory counterpart of the harmonic term, which for the noncommutative $\phi^4$-theory on Moyal space ensures renormalisability. A class of possible candidates for renormalisable gauge theory actions defined on Moyal space is presented and discussed.

[ { "created": "Sat, 18 Aug 2007 08:05:54 GMT", "version": "v1" }, { "created": "Wed, 26 Sep 2007 16:29:41 GMT", "version": "v2" } ]

2008-11-26

[ [ "Wallet", "Jean-Christophe", "" ] ]

Noncommutative field theories on Moyal spaces can be conveniently handled within a framework of noncommutative geometry. Several renormalisable matter field theories that are now identified are briefly reviewed. The construction of renormalisable gauge theories on these noncommutative Moyal spaces, which remains so far a challenging problem, is then closely examined. The computation in 4-D of the one-loop effective gauge theory generated from the integration over a scalar field appearing in a renormalisable theory minimally coupled to an external gauge potential is presented. The gauge invariant effective action is found to involve, beyond the expected noncommutative version of the pure Yang-Mills action, additional terms that may be interpreted as the gauge theory counterpart of the harmonic term, which for the noncommutative $\phi^4$-theory on Moyal space ensures renormalisability. A class of possible candidates for renormalisable gauge theory actions defined on Moyal space is presented and discussed.

6.526678

7.510667

7.572662

7.079216

7.236506

7.303779

7.04683

7.136282

7.088413

8.851665

7.500077

6.908976

7.314013

7.072998

6.943968

6.837001

7.030771

7.054963

7.057282

7.284057

6.868407

1709.01954

Nick R.D. Zhu

Jean-Emile Bourgine, Masayuki Fukuda, Yutaka Matsuo, Rui-Dong Zhu

Reflection states in Ding-Iohara-Miki algebra and brane-web for D-type quiver

27 pages, 11 figures. Details of translation in terms of IKV refined topological vertex added in the second version

J. High Energ. Phys. (2017) 2017: 15

10.1007/JHEP12(2017)015

KIAS-Q17026; UT-17-30

hep-th math-ph math.MP

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

Reflection states are introduced in the vertical and horizontal modules of the Ding-Iohara-Miki (DIM) algebra (quantum toroidal $\mathfrak{gl}_1$). Webs of DIM representations are in correspondence with $(p,q)$-web diagrams of type IIB string theory, under the identification of the algebraic intertwiner of Awata, Feigin and Shiraishi with the refined topological vertex. Extending the correspondence to the vertical reflection states, it is possible to engineer the $\mathcal{N}=1$ quiver gauge theory of D-type (with unitary gauge groups). In this way, the Nekrasov instanton partition function is reproduced from the evaluation of expectation values of intertwiners. This computation leads to the identification of the vertical reflection state with the orientifold plane of string theory. We also provide a translation of this construction in the Iqbal-Kozcaz-Vafa refined topological vertex formalism.

[ { "created": "Wed, 6 Sep 2017 18:12:28 GMT", "version": "v1" }, { "created": "Tue, 17 Oct 2017 13:33:10 GMT", "version": "v2" } ]

2017-12-08

[ [ "Bourgine", "Jean-Emile", "" ], [ "Fukuda", "Masayuki", "" ], [ "Matsuo", "Yutaka", "" ], [ "Zhu", "Rui-Dong", "" ] ]

Reflection states are introduced in the vertical and horizontal modules of the Ding-Iohara-Miki (DIM) algebra (quantum toroidal $\mathfrak{gl}_1$). Webs of DIM representations are in correspondence with $(p,q)$-web diagrams of type IIB string theory, under the identification of the algebraic intertwiner of Awata, Feigin and Shiraishi with the refined topological vertex. Extending the correspondence to the vertical reflection states, it is possible to engineer the $\mathcal{N}=1$ quiver gauge theory of D-type (with unitary gauge groups). In this way, the Nekrasov instanton partition function is reproduced from the evaluation of expectation values of intertwiners. This computation leads to the identification of the vertical reflection state with the orientifold plane of string theory. We also provide a translation of this construction in the Iqbal-Kozcaz-Vafa refined topological vertex formalism.

8.35663

7.885107

12.028424

7.644302

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7.990226

7.578652

7.749414

13.786244

7.524125

7.588529

8.784806

7.665761

7.705073

7.697536

7.855987

7.359587

7.63807

8.224029

7.638697

2107.09077

Mohammad Akhond

Mohammad Akhond, Federico Carta

Magnetic quivers from brane webs with O7$^+$-planes

21 pages

JHEP10(2021)014

10.1007/JHEP10(2021)014

null

hep-th

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

We consider the Higgs branch of 5d fixed points engineered using brane webs with an O7$^+$-plane. We use the brane construction to propose a set of rules to extract the corresponding magnetic quivers. Such magnetic quivers are generically framed non-simply-laced quivers containing unitary as well as special unitary gauge nodes. We compute the Coulomb branch Hilbert series of the proposed magnetic quivers. In some specific cases, an alternative magnetic quiver can be obtained either using an ordinary brane web or a brane web with an O5-plane. In these cases, we find a match at the level of the Hilbert series.

[ { "created": "Mon, 19 Jul 2021 18:00:04 GMT", "version": "v1" } ]

2022-01-05

[ [ "Akhond", "Mohammad", "" ], [ "Carta", "Federico", "" ] ]

We consider the Higgs branch of 5d fixed points engineered using brane webs with an O7$^+$-plane. We use the brane construction to propose a set of rules to extract the corresponding magnetic quivers. Such magnetic quivers are generically framed non-simply-laced quivers containing unitary as well as special unitary gauge nodes. We compute the Coulomb branch Hilbert series of the proposed magnetic quivers. In some specific cases, an alternative magnetic quiver can be obtained either using an ordinary brane web or a brane web with an O5-plane. In these cases, we find a match at the level of the Hilbert series.

6.781299

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6.021242

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5.728512

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6.217007

7.400647

6.464316

6.511249

6.112287

6.356464

6.362528

6.359953

6.948613

6.122

hep-th/0411032

Ignatios Antoniadis

I. Antoniadis and S. Dimopoulos

Splitting Supersymmetry in String Theory

27 pages, 3 figures

Nucl.Phys. B715 (2005) 120-140

10.1016/j.nuclphysb.2005.03.005

CERN-PH-TH/2004-217

hep-th hep-ph

null

We point out that type I string theory in the presence of internal magnetic fields provides a concrete realization of split supersymmetry. To lowest order, gauginos are massless while squarks and sleptons are superheavy. We build such realistic U(3)xU(2)xU(1) models on stacks of magnetized D9-branes. Though not unified into a simple group, these theories preserve the successful supersymmetric relation of gauge couplings, as they start out with equal SU(3) and SU(2) couplings and the correct initial sin^2\theta_W at the compactification scale of M_{GUT}\simeq 2x10^{16} GeV, and they have the minimal low-energy particle content of split supersymmetry. We also propose a mechanism in which the gauginos and higgsinos are further protected by a discrete R-symmetry against gravitational corrections, as the gravitino gets an invariant Dirac mass by pairing with a member of a Kaluza-Klein tower of spin-3/2 particles. In addition to the models proposed here, split supersymmetry offers novel strategies for realistic model-building. So, TeV-scale string models previously dismissed because of rapid proton decay, or incorrect sin^2\theta_W, or because there were no unused dimensions into which to dilute the strength of gravity, can now be reconsidered as candidates for realistic split theories with string scale near M_{GUT}, as long as the gauginos and higgsinos remain light.

[ { "created": "Tue, 2 Nov 2004 17:49:01 GMT", "version": "v1" } ]

2010-04-05

[ [ "Antoniadis", "I.", "" ], [ "Dimopoulos", "S.", "" ] ]

We point out that type I string theory in the presence of internal magnetic fields provides a concrete realization of split supersymmetry. To lowest order, gauginos are massless while squarks and sleptons are superheavy. We build such realistic U(3)xU(2)xU(1) models on stacks of magnetized D9-branes. Though not unified into a simple group, these theories preserve the successful supersymmetric relation of gauge couplings, as they start out with equal SU(3) and SU(2) couplings and the correct initial sin^2\theta_W at the compactification scale of M_{GUT}\simeq 2x10^{16} GeV, and they have the minimal low-energy particle content of split supersymmetry. We also propose a mechanism in which the gauginos and higgsinos are further protected by a discrete R-symmetry against gravitational corrections, as the gravitino gets an invariant Dirac mass by pairing with a member of a Kaluza-Klein tower of spin-3/2 particles. In addition to the models proposed here, split supersymmetry offers novel strategies for realistic model-building. So, TeV-scale string models previously dismissed because of rapid proton decay, or incorrect sin^2\theta_W, or because there were no unused dimensions into which to dilute the strength of gravity, can now be reconsidered as candidates for realistic split theories with string scale near M_{GUT}, as long as the gauginos and higgsinos remain light.

9.290467

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9.982924

10.410976

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9.539321

8.822893

9.261344

8.866283

8.688471

9.335445

9.335789

9.326881

9.197472

8.976644

8.995381

9.128179

0709.1932

Andrei Micu

Sebastien Gurrieri, Andre Lukas, Andrei Micu

Heterotic String Compactifications on Half-flat Manifolds II

31 pages

JHEP 0712:081,2007

10.1088/1126-6708/2007/12/081

null

hep-th

null

In this paper, we continue the analysis of heterotic string compactifications on half-flat mirror manifolds by including the 10-dimensional gauge fields. It is argued, that the heterotic Bianchi identity is solved by a variant of the standard embedding. Then, the resulting gauge group in four dimensions is still E6 despite the fact that the Levi-Civita connection has SO(6) holonomy. We derive the associated four-dimensional effective theories including matter field terms for such compactifications. The results are also extended to more general manifolds with SU(3) structure.

[ { "created": "Wed, 12 Sep 2007 17:08:03 GMT", "version": "v1" } ]

2009-11-18

[ [ "Gurrieri", "Sebastien", "" ], [ "Lukas", "Andre", "" ], [ "Micu", "Andrei", "" ] ]

In this paper, we continue the analysis of heterotic string compactifications on half-flat mirror manifolds by including the 10-dimensional gauge fields. It is argued, that the heterotic Bianchi identity is solved by a variant of the standard embedding. Then, the resulting gauge group in four dimensions is still E6 despite the fact that the Levi-Civita connection has SO(6) holonomy. We derive the associated four-dimensional effective theories including matter field terms for such compactifications. The results are also extended to more general manifolds with SU(3) structure.

9.896851

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9.396255

9.182549

9.198064

9.479971

8.898306

9.499119

9.291063

9.684843

8.904454

hep-th/0703289

Anke Knauf

Rhiannon Gwyn, Anke Knauf

Conifolds and Geometric Transitions

37 pages, v3: accepted for publication in Reviews of Modern Physics

Rev.Mod.Phys.8012:1419-1453,2008

10.1103/RevModPhys.80.1419

null

hep-th

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

Conifold geometries have recieved a lot of attention in string theory and string-inspired cosmology recently, in particular the Klebanov-Strassler background that is known as the "warped throat". It is our intention in this article to give a pedagogical explanation for the singularity resolution in this geometry and emphasise its connection to geometric transitions. The first part focuses on the gauge theory dual to the Klebanov-Strassler background, which we also explain from a T-dual intersecting branes scenario. We then make the connection to the Gopakumar-Vafa conjecture for open/closed string duality and summarise a series of papers verifying this model on the supergravity level. An appendix provides extensive background material about conifold geometries. We pay special attention to their complex structures and re-evaluate the supersymmetry conditions on the background flux in constructions with fractional D3-branes on the singular (Klebanov-Tseytlin) and resolved (Pando Zayas-Tseytlin) conifolds. We agree with earlier results that only the singular solution allows a supersymmetric flux, but point out the importance of using the correct complex structure to reach this conclusion.

[ { "created": "Fri, 30 Mar 2007 17:10:53 GMT", "version": "v1" }, { "created": "Wed, 9 May 2007 22:12:52 GMT", "version": "v2" }, { "created": "Thu, 23 Oct 2008 19:54:55 GMT", "version": "v3" } ]

2008-12-18

[ [ "Gwyn", "Rhiannon", "" ], [ "Knauf", "Anke", "" ] ]

Conifold geometries have recieved a lot of attention in string theory and string-inspired cosmology recently, in particular the Klebanov-Strassler background that is known as the "warped throat". It is our intention in this article to give a pedagogical explanation for the singularity resolution in this geometry and emphasise its connection to geometric transitions. The first part focuses on the gauge theory dual to the Klebanov-Strassler background, which we also explain from a T-dual intersecting branes scenario. We then make the connection to the Gopakumar-Vafa conjecture for open/closed string duality and summarise a series of papers verifying this model on the supergravity level. An appendix provides extensive background material about conifold geometries. We pay special attention to their complex structures and re-evaluate the supersymmetry conditions on the background flux in constructions with fractional D3-branes on the singular (Klebanov-Tseytlin) and resolved (Pando Zayas-Tseytlin) conifolds. We agree with earlier results that only the singular solution allows a supersymmetric flux, but point out the importance of using the correct complex structure to reach this conclusion.

9.650953

9.847307

12.169219

9.620982

10.07678

9.760291

10.527557

9.341341

9.606697

12.610655

9.092673

9.143781

9.482325

9.054664

9.064206

9.257781

9.296957

9.132247

9.133299

9.613055

9.38755

1311.1257

Ashoke Sen

Roji Pius, Arnab Rudra and Ashoke Sen

Mass Renormalization in String Theory: Special States

LaTeX file, 28 pages; v2: clarifications added; v3: minor changes

null

10.1007/JHEP07(2014)058

DAMTP-2013-62, HRI/ST/1306

hep-th

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

String theory gives a well defined procedure for computing the S-matrix of BPS or a class of massless states, but similar calculation for general massive states is plagued with difficulties due to mass renormalization effect. In this paper we describe a procedure for computing the renormalized masses and S-matrix elements in bosonic string theory for a special class of massive states which do not mix with unphysical states under renormalization. Even though this requires working with off-shell amplitudes which are ambiguous, we show that the renormalized masses and S-matrix elements are free from these ambiguities. We also argue that the masses and S-matrix elements for general external states can be found by examining the locations of the poles and the residues of the S-matrix of special states. Finally we discuss generalizations to heterotic and superstring theories.

[ { "created": "Wed, 6 Nov 2013 00:26:00 GMT", "version": "v1" }, { "created": "Fri, 6 Dec 2013 03:15:09 GMT", "version": "v2" }, { "created": "Wed, 14 May 2014 21:18:00 GMT", "version": "v3" } ]

2015-06-17

[ [ "Pius", "Roji", "" ], [ "Rudra", "Arnab", "" ], [ "Sen", "Ashoke", "" ] ]

String theory gives a well defined procedure for computing the S-matrix of BPS or a class of massless states, but similar calculation for general massive states is plagued with difficulties due to mass renormalization effect. In this paper we describe a procedure for computing the renormalized masses and S-matrix elements in bosonic string theory for a special class of massive states which do not mix with unphysical states under renormalization. Even though this requires working with off-shell amplitudes which are ambiguous, we show that the renormalized masses and S-matrix elements are free from these ambiguities. We also argue that the masses and S-matrix elements for general external states can be found by examining the locations of the poles and the residues of the S-matrix of special states. Finally we discuss generalizations to heterotic and superstring theories.

7.042817

6.672782

7.488697

6.586536

6.757153

6.745027

7.002318

6.889365

6.335656

7.477672

6.506948

6.694405

7.164932

6.926028

6.631017

6.817929

6.658862

6.701378

6.733812

7.239067

6.599171

1509.00953

Takahiro Terada

Sergei V. Ketov and Takahiro Terada

Single-Superfield Helical-Phase Inflation

11 pages, 3 figures (published version); more explanations and references added, typos corrected, and figures improved

Phys. Lett. B 752, (2016), 108

10.1016/j.physletb.2015.11.039

UT-15-33, DESY 15-163, IPMU 15-0143

hep-th astro-ph.CO hep-ph

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

Large-field inflation in supergravity requires the approximate global symmetry needed to protect flatness of the scalar potential. In helical-phase inflation, the U(1) symmetry of the Kahler potential is assumed, the phase part of the complex scalar of a chiral superfield plays the role of inflaton, and the radial part is strongly stabilized. The original model of helical phase inflation, proposed by Li, Li and Nanopoulos (LLN), employs an extra (stabilizer) superfield. We propose a more economical new class of the helical phase inflationary models without a stabilizer superfield. As the specific examples, the quadratic, the natural, and the Starobinsky-type inflationary models are studied in our approach.

[ { "created": "Thu, 3 Sep 2015 06:20:38 GMT", "version": "v1" }, { "created": "Fri, 13 Nov 2015 15:42:28 GMT", "version": "v2" } ]

2015-11-24

[ [ "Ketov", "Sergei V.", "" ], [ "Terada", "Takahiro", "" ] ]

Large-field inflation in supergravity requires the approximate global symmetry needed to protect flatness of the scalar potential. In helical-phase inflation, the U(1) symmetry of the Kahler potential is assumed, the phase part of the complex scalar of a chiral superfield plays the role of inflaton, and the radial part is strongly stabilized. The original model of helical phase inflation, proposed by Li, Li and Nanopoulos (LLN), employs an extra (stabilizer) superfield. We propose a more economical new class of the helical phase inflationary models without a stabilizer superfield. As the specific examples, the quadratic, the natural, and the Starobinsky-type inflationary models are studied in our approach.

8.912598

9.035628

9.027224

8.33451

8.569356

8.52259

8.730692

8.282737

8.900213

9.537455

8.594825

8.382119

8.276832

7.924687

8.108655

8.183789

8.439414

8.231577

8.325928

7.887991

8.537886

1305.6048

Melita Mnatsakanova

K.V. Antipin, M.N. Mnatsakanova and Yu.S. Vernov

Haag's Theorem in the Theories with Non-physical Particles

null

Int.J.Mod.Phys. A28 (2013) 1350076

10.1142/S0217751X13500760

null

hep-th math-ph math.MP

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

Haag's theorem is extended to the case of regular representations of the canonical commutation relations in a non-degenerate indefinite inner product space.

[ { "created": "Sun, 26 May 2013 18:42:19 GMT", "version": "v1" } ]

2013-10-01

[ [ "Antipin", "K. V.", "" ], [ "Mnatsakanova", "M. N.", "" ], [ "Vernov", "Yu. S.", "" ] ]

Haag's theorem is extended to the case of regular representations of the canonical commutation relations in a non-degenerate indefinite inner product space.

13.5033

7.877607

7.969166

6.812332

8.899163

8.257559

8.038447

8.554273

8.057303

6.251772

6.576705

7.184565

7.452279

7.983827

7.250093

7.028604

7.911729

7.970599

7.769781

7.830699

8.385495

1705.07769

Azat Gainutdinov

Jonathan Bellet\^ete, Azat M. Gainutdinov, Jesper L. Jacobsen, Hubert Saleur, Romain Vasseur

On the correspondence between boundary and bulk lattice models and (logarithmic) conformal field theories

v2: 63 pp, few typos fixed, the final version in a special issue of J Phys A

J. Phys A: Math. Theor. 50 (2017) 484002

10.1088/1751-8121/aa902b

LPTENS/17/11, ZMP-HH/17-16, Hamburger Beitrage zur Mathematik 659

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

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

The relationship between bulk and boundary properties is one of the founding features of (Rational) Conformal Field Theory. Our goal in this paper is to explore the possibility of having an equivalent relationship in the context of lattice models. We focus on models based on the Temperley-Lieb algebra, and use the concept of braid translation, which is a natural way to close an open spin chain by adding an interaction between the first and last spins using braiding to bring them next to each other. The interaction thus obtained is in general non-local, but has the key feature that it is expressed solely in terms of the algebra for the open spin chain - the ordinary Temperley-Lieb algebra and its blob algebra generalization. This is in contrast with the usual periodic spin chains which involve only local interactions, and are described by the periodic TL algebra. We show that for the Restricted Solid-On-Solid models, which are known to be described by minimal unitary CFTs in the continuum limit, the braid translation in fact does provide the ordinary periodic model starting from the open model with fixed boundary conditions on the two sides of the strip. This statement has a precise mathematical formulation, which is a pull-back map between irreducible modules of, respectively, the blob algebra and the affine TL algebra. We then turn to the same kind of analysis for two models whose continuum limits are Logarithmic CFTs - the alternating gl(1|1) and sl(2|1) spin chains. We find that the result for minimal models does not hold any longer: braid translation of the relevant TL modules does not give rise to the modules known to be present in the periodic chains. In the gl(1|1) case, the content in terms of the irreducibles is the same, as well as the spectrum, but the detailed structure (like logarithmic coupling) is profoundly different. This carries over to the continuum limit.

[ { "created": "Mon, 22 May 2017 14:26:22 GMT", "version": "v1" }, { "created": "Mon, 18 Sep 2017 11:36:38 GMT", "version": "v2" } ]

2022-11-29

[ [ "Belletête", "Jonathan", "" ], [ "Gainutdinov", "Azat M.", "" ], [ "Jacobsen", "Jesper L.", "" ], [ "Saleur", "Hubert", "" ], [ "Vasseur", "Romain", "" ] ]

The relationship between bulk and boundary properties is one of the founding features of (Rational) Conformal Field Theory. Our goal in this paper is to explore the possibility of having an equivalent relationship in the context of lattice models. We focus on models based on the Temperley-Lieb algebra, and use the concept of braid translation, which is a natural way to close an open spin chain by adding an interaction between the first and last spins using braiding to bring them next to each other. The interaction thus obtained is in general non-local, but has the key feature that it is expressed solely in terms of the algebra for the open spin chain - the ordinary Temperley-Lieb algebra and its blob algebra generalization. This is in contrast with the usual periodic spin chains which involve only local interactions, and are described by the periodic TL algebra. We show that for the Restricted Solid-On-Solid models, which are known to be described by minimal unitary CFTs in the continuum limit, the braid translation in fact does provide the ordinary periodic model starting from the open model with fixed boundary conditions on the two sides of the strip. This statement has a precise mathematical formulation, which is a pull-back map between irreducible modules of, respectively, the blob algebra and the affine TL algebra. We then turn to the same kind of analysis for two models whose continuum limits are Logarithmic CFTs - the alternating gl(1|1) and sl(2|1) spin chains. We find that the result for minimal models does not hold any longer: braid translation of the relevant TL modules does not give rise to the modules known to be present in the periodic chains. In the gl(1|1) case, the content in terms of the irreducibles is the same, as well as the spectrum, but the detailed structure (like logarithmic coupling) is profoundly different. This carries over to the continuum limit.

7.783974

9.541477

9.510408

8.089528

9.011082

8.673263

8.712294

8.27178

8.382201

10.157336

8.198846

7.935163

7.978588

7.722569

7.860141

7.772267

7.849987

7.805286

7.662243

7.815977

7.692227

hep-th/0311181

Masaki Shigemori

Ken Intriligator, Per Kraus, Anton V. Ryzhov, Masaki Shigemori and Cumrun Vafa

On Low Rank Classical Groups in String Theory, Gauge Theory and Matrix Models

41 pages, 1 table, harvmac. v2: minor corrections and references added

Nucl.Phys.B682:45-82,2004

10.1016/j.nuclphysb.2003.12.030

BRX TH-525, HUTP-03/A073, UCLA-03-TEP-29, UCSD-PTH-03-14

hep-th

null

We consider N=1 supersymmetric U(N), SO(N), and Sp(N) gauge theories, with two-index tensor matter and added tree-level superpotential, for general breaking patterns of the gauge group. By considering the string theory realization and geometric transitions, we clarify when glueball superfields should be included and extremized, or rather set to zero; this issue arises for unbroken group factors of low rank. The string theory results, which are equivalent to those of the matrix model, refer to a particular UV completion of the gauge theory, which could differ from conventional gauge theory results by residual instanton effects. Often, however, these effects exhibit miraculous cancellations, and the string theory or matrix model results end up agreeing with standard gauge theory. In particular, these string theory considerations explain and remove some apparent discrepancies between gauge theories and matrix models in the literature.

[ { "created": "Thu, 20 Nov 2003 17:52:59 GMT", "version": "v1" }, { "created": "Tue, 9 Dec 2003 03:03:43 GMT", "version": "v2" } ]

2008-11-26

[ [ "Intriligator", "Ken", "" ], [ "Kraus", "Per", "" ], [ "Ryzhov", "Anton V.", "" ], [ "Shigemori", "Masaki", "" ], [ "Vafa", "Cumrun", "" ] ]

We consider N=1 supersymmetric U(N), SO(N), and Sp(N) gauge theories, with two-index tensor matter and added tree-level superpotential, for general breaking patterns of the gauge group. By considering the string theory realization and geometric transitions, we clarify when glueball superfields should be included and extremized, or rather set to zero; this issue arises for unbroken group factors of low rank. The string theory results, which are equivalent to those of the matrix model, refer to a particular UV completion of the gauge theory, which could differ from conventional gauge theory results by residual instanton effects. Often, however, these effects exhibit miraculous cancellations, and the string theory or matrix model results end up agreeing with standard gauge theory. In particular, these string theory considerations explain and remove some apparent discrepancies between gauge theories and matrix models in the literature.

11.172628

11.032714

12.198285

10.798484

10.45623

10.69871

11.008283

10.618942

10.396054

12.664136

10.371572

10.127325

11.719417

10.818925

10.287801

10.513871

10.40811

10.608901

10.69682

11.621593

10.660692

2104.03708

Philip D. Mannheim

Antilinear Symmetry and the Ghost Problem in Quantum Field Theory

17 pages. To appear in the Proceedings of Virtual seminar series on Pseudo-Hermitian Hamiltonians in Quantum Physics

null

hep-th quant-ph

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

The recognition that the eigenvalues of a non-Hermitian Hamiltonian could all be real if the Hamiltonian had an antilinear symmetry such as $PT$ stimulated new insight into the underlying structure of quantum mechanics. Specifically, it lead to the realization that Hilbert space could be richer than the established Dirac approach of constructing inner products out of ket vectors and their Hermitian conjugate bra vectors. With antilinear symmetry one must instead build inner products out of ket vectors and their antilinear conjugates, and it is these inner products that would be time independent in the non-Hermitian but antilinearly symmetric case even as the standard Dirac inner products would not be. Moreover, and in a sense quite remarkably, antilinear symmetry could address not only the temporal behavior of the inner product but also the issue of its overall sign, with antilinear symmetry being capable of yielding a positive inner product in situations where the standard Dirac inner product is found to have ghostlike negative signature. Antilinear symmetry thus solves the ghost problem in quantum field theory by showing that when a theory has ghost states it is being formulated in the wrong Hilbert space, with antilinear symmetry providing a Hilbert space that is ghost free. Antilinear symmetry does not actually get rid of the ghost states. Rather, it shows that the reasoning that led one to think that ghosts were present in the first place is faulty.

[ { "created": "Thu, 8 Apr 2021 11:55:49 GMT", "version": "v1" }, { "created": "Wed, 11 Aug 2021 21:34:38 GMT", "version": "v2" } ]

2021-08-13

[ [ "Mannheim", "Philip D.", "" ] ]

The recognition that the eigenvalues of a non-Hermitian Hamiltonian could all be real if the Hamiltonian had an antilinear symmetry such as $PT$ stimulated new insight into the underlying structure of quantum mechanics. Specifically, it lead to the realization that Hilbert space could be richer than the established Dirac approach of constructing inner products out of ket vectors and their Hermitian conjugate bra vectors. With antilinear symmetry one must instead build inner products out of ket vectors and their antilinear conjugates, and it is these inner products that would be time independent in the non-Hermitian but antilinearly symmetric case even as the standard Dirac inner products would not be. Moreover, and in a sense quite remarkably, antilinear symmetry could address not only the temporal behavior of the inner product but also the issue of its overall sign, with antilinear symmetry being capable of yielding a positive inner product in situations where the standard Dirac inner product is found to have ghostlike negative signature. Antilinear symmetry thus solves the ghost problem in quantum field theory by showing that when a theory has ghost states it is being formulated in the wrong Hilbert space, with antilinear symmetry providing a Hilbert space that is ghost free. Antilinear symmetry does not actually get rid of the ghost states. Rather, it shows that the reasoning that led one to think that ghosts were present in the first place is faulty.

7.985421

7.470739

9.286393

7.757729

8.372572

7.991835

8.176842

8.379786

8.200497

9.145272

8.202166

8.198072

8.081232

7.795627

7.827424

7.903329

8.073193

8.148008

8.050199

8.190767

7.895638

1711.09314

James Edwards Dr

James P. Edwards and Olindo Corradini

Worldline colour fields and non-Abelian quantum field theory

10 pages. To appear in Proceedings of the 6th International Conference on New Frontiers in Physics (ICNFP 2017), published by European Physical Journal Web of Conferences

null

10.1051/epjconf/201818202038

null

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

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

In the worldline approach to non-Abelian field theory the colour degrees of freedom of the coupling to the gauge potential can be incorporated using worldline "colour" fields. The colour fields generate Wilson loop interactions whilst Chern-Simons terms project onto an irreducible representation of the gauge group. We analyse this augmented worldline theory in phase space focusing on its supersymmetry and constraint algebra, arriving at a locally supersymmetric theory in superspace. We demonstrate canonical quantisation and the path integral on $S^{1}$ for simple representations of $SU(N)$.

[ { "created": "Sun, 26 Nov 2017 00:36:06 GMT", "version": "v1" } ]

2018-08-29

[ [ "Edwards", "James P.", "" ], [ "Corradini", "Olindo", "" ] ]

In the worldline approach to non-Abelian field theory the colour degrees of freedom of the coupling to the gauge potential can be incorporated using worldline "colour" fields. The colour fields generate Wilson loop interactions whilst Chern-Simons terms project onto an irreducible representation of the gauge group. We analyse this augmented worldline theory in phase space focusing on its supersymmetry and constraint algebra, arriving at a locally supersymmetric theory in superspace. We demonstrate canonical quantisation and the path integral on $S^{1}$ for simple representations of $SU(N)$.

16.708212

13.940873

15.717444

13.506913

13.769304

13.573346

14.641711

14.558711

13.855324

16.338316

14.746647

14.375786

13.870598

13.591556

13.961236

14.787649

14.421498

14.029363

13.894451

14.832144

14.716792

1702.06489

Carlo Maccaferri

Pier Vittorio Larocca, Carlo Maccaferri

BCFT and OSFT moduli: an exact perturbative comparison

26+5 pages, 10 figures V2: minor improvements, published version

Eur. Phys. J. C (2017) 77:806

10.1140/epjc/s10052-017-5379-3

null

hep-th

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

Starting from the pseudo-${\cal B}_0$ gauge solution for marginal deformations in OSFT, we analytically compute the relation between the perturbative deformation parameter $\tilde\lambda$ in the solution and the BCFT marginal parameter $\lambda$, up to fifth order, by evaluating the Ellwood invariants. We observe that the microscopic reason why $\tilde\lambda$ and $\lambda$ are different is that the OSFT propagator renormalizes contact term divergences differently from the contour deformation used in BCFT

[ { "created": "Tue, 21 Feb 2017 17:39:06 GMT", "version": "v1" }, { "created": "Tue, 28 Nov 2017 23:35:08 GMT", "version": "v2" } ]

2017-11-30

[ [ "Larocca", "Pier Vittorio", "" ], [ "Maccaferri", "Carlo", "" ] ]

Starting from the pseudo-${\cal B}_0$ gauge solution for marginal deformations in OSFT, we analytically compute the relation between the perturbative deformation parameter $\tilde\lambda$ in the solution and the BCFT marginal parameter $\lambda$, up to fifth order, by evaluating the Ellwood invariants. We observe that the microscopic reason why $\tilde\lambda$ and $\lambda$ are different is that the OSFT propagator renormalizes contact term divergences differently from the contour deformation used in BCFT

13.385024

13.76436

14.627398

13.445253

13.06597

13.023197

12.372892

13.411122

14.906513

17.309706

11.800317

12.927434

14.086846

12.656234

12.872399

12.900592

12.910601

13.180136

13.277303

13.868299

12.921607

1706.02622

Jesus Anero

Enrique Alvarez, Jesus Anero and Raquel Santos-Garcia

One-loop divergences in first order Einstein-Hilbert gravity

Some misprints have been correct

null

hep-th

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

One-loop counterterms are computed in the first order formalism for the Einstein-Hilbert action with a minimally coupled scalar field using the background field method and the heat kernel technique. The {\em off-shell} divergent piece in the harmonic gauge is {\em exactly} the same as the one first found by 't Hooft and Veltman.

[ { "created": "Thu, 8 Jun 2017 14:53:08 GMT", "version": "v1" }, { "created": "Fri, 9 Jun 2017 14:23:12 GMT", "version": "v2" }, { "created": "Thu, 22 Jun 2017 15:24:51 GMT", "version": "v3" }, { "created": "Tue, 11 Jul 2017 12:36:03 GMT", "version": "v4" }, { "created": "Mon, 15 Jan 2018 10:32:43 GMT", "version": "v5" }, { "created": "Mon, 24 May 2021 05:54:28 GMT", "version": "v6" }, { "created": "Sat, 11 Sep 2021 16:05:25 GMT", "version": "v7" } ]

2021-09-14

[ [ "Alvarez", "Enrique", "" ], [ "Anero", "Jesus", "" ], [ "Santos-Garcia", "Raquel", "" ] ]

One-loop counterterms are computed in the first order formalism for the Einstein-Hilbert action with a minimally coupled scalar field using the background field method and the heat kernel technique. The {\em off-shell} divergent piece in the harmonic gauge is {\em exactly} the same as the one first found by 't Hooft and Veltman.

7.137451

6.017115

6.270708

5.678043

6.554463

6.08755

5.878383

6.029521

6.150738

6.592693

6.051705

5.73833

5.869465

5.746935

5.743127

5.689438

5.551043

5.628293

5.796464

5.619559

5.940526

hep-th/9411226

Denjoe O'Connor

M.A. van Eijck, Denjoe O'Connor and C.R. Stephens

Critical Temperature and Amplitude Ratios from a Finite-Temperature Renormalization Group

14 pages of LaTeX. Postscript figures available upon request form denjoe@stp.dias.ie

Int.J.Mod.Phys. A10 (1995) 3343-3358

10.1142/S0217751X95001613

DIAS-STP-94-33; ITFA-94-29; ICN-UNAM-94-07

hep-th cond-mat

null

We study $\l\f^4$ theory using an environmentally friendly finite-temperature renormalization group. We derive flow equations, using a fiducial temperature as flow parameter, develop them perturbatively in an expansion free from ultraviolet and infrared divergences, then integrate them numerically from zero to temperatures above the critical temperature. The critical temperature, at which the mass vanishes, is obtained by integrating the flow equations and is determined as a function of the zero-temperature mass and coupling. We calculate the field expectation value and minimum of the effective potential as functions of temperature and derive some universal amplitude ratios which connect the broken and symmetric phases of the theory. The latter are found to be in good agreement with those of the three-dimensional Ising model obtained from high- and low-temperature series expansions.

[ { "created": "Wed, 30 Nov 1994 03:05:32 GMT", "version": "v1" } ]

2015-06-26

[ [ "van Eijck", "M. A.", "" ], [ "O'Connor", "Denjoe", "" ], [ "Stephens", "C. R.", "" ] ]

We study $\l\f^4$ theory using an environmentally friendly finite-temperature renormalization group. We derive flow equations, using a fiducial temperature as flow parameter, develop them perturbatively in an expansion free from ultraviolet and infrared divergences, then integrate them numerically from zero to temperatures above the critical temperature. The critical temperature, at which the mass vanishes, is obtained by integrating the flow equations and is determined as a function of the zero-temperature mass and coupling. We calculate the field expectation value and minimum of the effective potential as functions of temperature and derive some universal amplitude ratios which connect the broken and symmetric phases of the theory. The latter are found to be in good agreement with those of the three-dimensional Ising model obtained from high- and low-temperature series expansions.

10.753839

9.635147

10.994355

8.914435

9.17919

9.930944

9.153481

9.742073

9.54217

11.55578

9.406671

9.859582

10.329578

9.400437

9.647433

9.587566

9.561003

9.457531

10.062803

10.6478

10.240239

hep-th/0701270

Brett D. Altschul

Brett Altschul

Cerenkov Radiation in a Lorentz-Violating and Birefringent Vacuum

17 pages, version to appear in Phys. Rev. D

Phys.Rev.D75:105003,2007

10.1103/PhysRevD.75.105003

IUHET-505

hep-th

null

We calculate the emission spectrum for vacuum Cerenkov radiation in Lorentz-violating extensions of electrodynamics. We develop an approach that works equally well if the presence or the absence of birefringence. In addition to confirming earlier work, we present the first calculation relevant to Cerenkov radiation in the presence of a birefringent photon k_F term, calculating the lower-energy part of the spectrum for that case.

[ { "created": "Tue, 30 Jan 2007 03:38:18 GMT", "version": "v1" }, { "created": "Fri, 13 Apr 2007 16:49:46 GMT", "version": "v2" } ]

2008-11-26

[ [ "Altschul", "Brett", "" ] ]

We calculate the emission spectrum for vacuum Cerenkov radiation in Lorentz-violating extensions of electrodynamics. We develop an approach that works equally well if the presence or the absence of birefringence. In addition to confirming earlier work, we present the first calculation relevant to Cerenkov radiation in the presence of a birefringent photon k_F term, calculating the lower-energy part of the spectrum for that case.

12.612132

11.404505

11.417489

11.158703

12.040081

11.212887

11.653166

11.259583

10.921302

12.323838

10.844382

11.584091

11.541529

11.187385

11.908825

11.625848

10.23565

11.432749

10.705112

11.099183

11.872109

hep-th/9504008

Marco Aurelio do Rego Monteiro

M.R-Monteiro, I.Roditi, L.M.C.S.Rodrigues and S.Sciuto

The Role of the Central Element in the Quantum Algebra Underlying the Twisted XXZ Chain

LaTeX file, 15 pages

Phys.Lett. B354 (1995) 389-395

10.1016/0370-2693(95)00684-D

DFTT 22/95 and CBPF-NF-17/95

hep-th cond-mat

null

We study the relationship among the XXZ Heisenberg model and three models obtained from it by various transformations. In particular, we emphasize the role of a non trivial central element $t^Z$ in the underlying algebra and its relationship with the twisted boundary conditions, $S^{\pm}_{N+1}=t^{\pm N}S^{\pm}_1$.

[ { "created": "Tue, 4 Apr 1995 12:42:48 GMT", "version": "v1" } ]

2016-09-06

[ [ "R-Monteiro", "M.", "" ], [ "Roditi", "I.", "" ], [ "Rodrigues", "L. M. C. S.", "" ], [ "Sciuto", "S.", "" ] ]

We study the relationship among the XXZ Heisenberg model and three models obtained from it by various transformations. In particular, we emphasize the role of a non trivial central element $t^Z$ in the underlying algebra and its relationship with the twisted boundary conditions, $S^{\pm}_{N+1}=t^{\pm N}S^{\pm}_1$.

11.167686

11.569577

12.496098

10.497194

10.989764

10.125587

11.89608

10.521912

11.053688

11.499827

10.106893

10.833412

11.781749

10.443231

10.450967

10.445977

10.414804

10.320043

10.646252

12.018035

10.064651

0903.1868

Gerald V. Dunne

Gokce Basar, Gerald V. Dunne, Michael Thies

Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model

28 pages, 13 figures

Phys.Rev.D79:105012,2009

10.1103/PhysRevD.79.105012

null

hep-th cond-mat.supr-con hep-lat hep-ph

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

We analyze the thermodynamical properties, at finite density and nonzero temperature, of the (1+1)-dimensional chiral Gross-Neveu model (the NJL_2 model), using the exact inhomogeneous (crystalline) condensate solutions to the gap equation. The continuous chiral symmetry of the model plays a crucial role, and the thermodynamics leads to a broken phase with a periodic spiral condensate, the "chiral spiral", as a thermodynamically preferred limit of the more general "twisted kink crystal" solution of the gap equation. This situation should be contrasted with the Gross-Neveu model, which has a discrete chiral symmetry, and for which the phase diagram has a crystalline phase with a periodic kink crystal. We use a combination of analytic, numerical and Ginzburg-Landau techniques to study various parts of the phase diagram.

[ { "created": "Tue, 10 Mar 2009 22:24:49 GMT", "version": "v1" } ]

2010-11-11

[ [ "Basar", "Gokce", "" ], [ "Dunne", "Gerald V.", "" ], [ "Thies", "Michael", "" ] ]

We analyze the thermodynamical properties, at finite density and nonzero temperature, of the (1+1)-dimensional chiral Gross-Neveu model (the NJL_2 model), using the exact inhomogeneous (crystalline) condensate solutions to the gap equation. The continuous chiral symmetry of the model plays a crucial role, and the thermodynamics leads to a broken phase with a periodic spiral condensate, the "chiral spiral", as a thermodynamically preferred limit of the more general "twisted kink crystal" solution of the gap equation. This situation should be contrasted with the Gross-Neveu model, which has a discrete chiral symmetry, and for which the phase diagram has a crystalline phase with a periodic kink crystal. We use a combination of analytic, numerical and Ginzburg-Landau techniques to study various parts of the phase diagram.

7.1994

6.822525

7.140434

6.628196

6.749458

7.161586

6.446375

6.750494

6.288316

7.453427

7.008328

6.901021

6.985001

6.936554

7.098835

6.91714

6.952927

6.926805

6.751704

7.039775

6.940864

1910.04795

David Tennyson

Anthony Ashmore, Charles Strickland-Constable, David Tennyson, Daniel Waldram

Generalising G$_\text{2}$ geometry: involutivity, moment maps and moduli

null

JHEP 01 (2021) 158

10.1007/JHEP01(2021)158

null

hep-th math.DG

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

We analyse the geometry of generic Minkowski $\mathcal{N}=1$, $D=4$ flux compactifications in string theory, the default backgrounds for string model building. In M-theory they are the natural string theoretic extensions of $\mathrm{G}_2$ holonomy manifolds. In type II theories, they extend the notion of Calabi--Yau geometry and include the class of flux backgrounds based on generalised complex structures first considered by Gra\~na et al. (GMPT). Using $\mathrm{E}_{7(7)}\times\mathbb{R}^+$ generalised geometry we show that these compactifications are characterised by an $\mathrm{SU}(7)\subset\mathrm{E}_{7(7)}$ structure defining an involutive subbundle of the generalised tangent space, and with a vanishing moment map, corresponding to the action of the diffeomorphism and gauge symmetries of the theory. The K\"ahler potential on the space of structures defines a natural extension of Hitchin's $\mathrm{G}_2$ functional. Using this framework we are able to count, for the first time, the massless scalar moduli of GMPT solutions in terms of generalised geometry cohomology groups. It also provides an intriguing new perspective on the existence of $G_{2}$ manifolds, suggesting possible connections to Geometrical Invariant Theory and stability.

[ { "created": "Thu, 10 Oct 2019 18:20:06 GMT", "version": "v1" } ]

2022-02-04

[ [ "Ashmore", "Anthony", "" ], [ "Strickland-Constable", "Charles", "" ], [ "Tennyson", "David", "" ], [ "Waldram", "Daniel", "" ] ]

We analyse the geometry of generic Minkowski $\mathcal{N}=1$, $D=4$ flux compactifications in string theory, the default backgrounds for string model building. In M-theory they are the natural string theoretic extensions of $\mathrm{G}_2$ holonomy manifolds. In type II theories, they extend the notion of Calabi--Yau geometry and include the class of flux backgrounds based on generalised complex structures first considered by Gra\~na et al. (GMPT). Using $\mathrm{E}_{7(7)}\times\mathbb{R}^+$ generalised geometry we show that these compactifications are characterised by an $\mathrm{SU}(7)\subset\mathrm{E}_{7(7)}$ structure defining an involutive subbundle of the generalised tangent space, and with a vanishing moment map, corresponding to the action of the diffeomorphism and gauge symmetries of the theory. The K\"ahler potential on the space of structures defines a natural extension of Hitchin's $\mathrm{G}_2$ functional. Using this framework we are able to count, for the first time, the massless scalar moduli of GMPT solutions in terms of generalised geometry cohomology groups. It also provides an intriguing new perspective on the existence of $G_{2}$ manifolds, suggesting possible connections to Geometrical Invariant Theory and stability.

7.068172

7.751467

7.777602

6.89292

7.961129

7.758685

7.599409

7.186773

6.853702

9.309101

7.16542

6.889759

7.288589

6.96684

6.720939

6.975126

6.849193

6.737129

6.903519

7.28037

6.930584

hep-th/9310094

Balakrishna Shankar

B. S. Balakrishna and K. T. Mahanthappa

Composite gauge field models with broken symmetries

12 pages, COLO-HEP/325

Phys.Rev.D49:2653-2657,1994

10.1103/PhysRevD.49.R2653

null

hep-th hep-ph

null

We present a generalization of the non-Abelian version of the $CP^{N-1}$ models (also known as Grassmannian models) that involve composite gauge fields to accommodate partial breaking of the non-Abelian gauge symmetry. For this to be possible, in most cases, the constituent fields need to belong to an anomaly free complex representation. Symmetry is broken dynamically for large $N$ primarily by a naturally generated composite scalar which simulates Higgs mechanism. In the example studied in some detail, the gauge group SO(10) gets broken down to subgroups like SU(5) or SU(5)$\times$U(1).

[ { "created": "Fri, 15 Oct 1993 14:07:47 GMT", "version": "v1" }, { "created": "Sun, 17 Oct 1993 21:44:39 GMT", "version": "v2" }, { "created": "Mon, 18 Oct 1993 17:25:48 GMT", "version": "v3" } ]

2010-01-06

[ [ "Balakrishna", "B. S.", "" ], [ "Mahanthappa", "K. T.", "" ] ]

We present a generalization of the non-Abelian version of the $CP^{N-1}$ models (also known as Grassmannian models) that involve composite gauge fields to accommodate partial breaking of the non-Abelian gauge symmetry. For this to be possible, in most cases, the constituent fields need to belong to an anomaly free complex representation. Symmetry is broken dynamically for large $N$ primarily by a naturally generated composite scalar which simulates Higgs mechanism. In the example studied in some detail, the gauge group SO(10) gets broken down to subgroups like SU(5) or SU(5)$\times$U(1).

11.004371

11.431801

11.077815

10.378083

11.136045

11.788543

11.685035

10.543311

10.44513

11.886946

10.641537

10.494798

11.083349

10.588116

10.585061

10.226969

10.408718

10.754649

10.086177

10.506985

10.530128

0912.3051

Filipe Moura

String-corrected dilatonic black holes in d dimensions

9 pages. v2: extended discussion on thermodynamical properties; reference added. Published version

Phys.Rev.D83:044002,2011

10.1103/PhysRevD.83.044002

null

hep-th

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

We solve the dilaton field equation in the background of a spherically symmetric black hole in bosonic or heterotic string theory with curvature-squared corrections in arbitrary d spacetime dimensions. We then apply this result to obtain a spherically symmetric black hole solution with dilatonic charge and curvature-squared corrections in bosonic or heterotic string theory compactified on a torus. For this black hole we obtain its free energy, entropy, temperature, specific heat and mass.

[ { "created": "Wed, 16 Dec 2009 04:12:35 GMT", "version": "v1" }, { "created": "Tue, 1 Feb 2011 17:34:53 GMT", "version": "v2" } ]

2011-02-15

[ [ "Moura", "Filipe", "" ] ]

We solve the dilaton field equation in the background of a spherically symmetric black hole in bosonic or heterotic string theory with curvature-squared corrections in arbitrary d spacetime dimensions. We then apply this result to obtain a spherically symmetric black hole solution with dilatonic charge and curvature-squared corrections in bosonic or heterotic string theory compactified on a torus. For this black hole we obtain its free energy, entropy, temperature, specific heat and mass.

6.488263

6.205863

6.306502

5.731812

5.757671

5.707494

5.950663

5.861514

5.593612

6.567102

5.947468

5.813398

6.202993

5.782793

5.671132

5.842248

5.712233

5.959973

5.870754

6.155767

5.881433

0908.1742

Boris Pioline

Guillaume Bossard, Yann Michel, Boris Pioline

Extremal black holes, nilpotent orbits and the true fake superpotential

47 pages + appendices, 7 figures; v2: minor corrections, to appear in JHEP

JHEP 1001:038,2010

10.1007/JHEP01(2010)038

AEI-2009-076

hep-th

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

Dimensional reduction along time offers a powerful way to study stationary solutions of 4D symmetric supergravity models via group-theoretical methods. We apply this approach systematically to extremal, BPS and non-BPS, spherically symmetric black holes, and obtain their "fake superpotential" W. The latter provides first order equations for the radial problem, governs the mass and entropy formula and gives the semi-classical approximation to the radial wave function. To achieve this goal, we note that the Noether charge for the radial evolution must lie in a certain Lagrangian submanifold of a nilpotent orbit of the 3D continuous duality group, and construct a suitable parametrization of this Lagrangian. For general non-BPS extremal black holes in N=8 supergravity, W is obtained by solving a non-standard diagonalization problem, which reduces to a sextic polynomial in $W^2$ whose coefficients are SU(8) invariant functions of the central charges. By consistent truncation we obtain W for other supergravity models with a symmetric moduli space. In particular, for the one-modulus $S^3$ model, $W^2$ is given explicitely as the root of a cubic polynomial. The STU model is investigated in detail and the nilpotency of the Noether charge is checked on explicit solutions.

[ { "created": "Wed, 12 Aug 2009 16:21:51 GMT", "version": "v1" }, { "created": "Mon, 11 Jan 2010 14:12:51 GMT", "version": "v2" } ]

2016-09-08

[ [ "Bossard", "Guillaume", "" ], [ "Michel", "Yann", "" ], [ "Pioline", "Boris", "" ] ]

Dimensional reduction along time offers a powerful way to study stationary solutions of 4D symmetric supergravity models via group-theoretical methods. We apply this approach systematically to extremal, BPS and non-BPS, spherically symmetric black holes, and obtain their "fake superpotential" W. The latter provides first order equations for the radial problem, governs the mass and entropy formula and gives the semi-classical approximation to the radial wave function. To achieve this goal, we note that the Noether charge for the radial evolution must lie in a certain Lagrangian submanifold of a nilpotent orbit of the 3D continuous duality group, and construct a suitable parametrization of this Lagrangian. For general non-BPS extremal black holes in N=8 supergravity, W is obtained by solving a non-standard diagonalization problem, which reduces to a sextic polynomial in $W^2$ whose coefficients are SU(8) invariant functions of the central charges. By consistent truncation we obtain W for other supergravity models with a symmetric moduli space. In particular, for the one-modulus $S^3$ model, $W^2$ is given explicitely as the root of a cubic polynomial. The STU model is investigated in detail and the nilpotency of the Noether charge is checked on explicit solutions.

10.325238

9.294449

11.796994

10.241204

9.692079

10.473074

10.169327

10.094526

9.566069

11.833854

9.335564

9.888734

10.459904

9.827407

9.980407

10.133736

9.737417

9.776526

9.834729

10.192476

9.780527

hep-th/0512192

David Tong

D-Branes in Field Theory

23 Pages, 3 figures. v2: reference added

JHEP0602:030,2006

10.1088/1126-6708/2006/02/030

null

hep-th

null

Certain gauge theories in four dimensions are known to admit semi-classical D-brane solitons. These are domain walls on which vortex flux tubes may end. The purpose of this paper is to develop an open-string description of these D-branes. The dynamics of the domain walls is shown to be governed by a Chern-Simons-Higgs theory which, at the quantum level, captures the classical "closed string" scattering of domain wall solitons.

[ { "created": "Thu, 15 Dec 2005 17:06:45 GMT", "version": "v1" }, { "created": "Wed, 4 Jan 2006 14:50:36 GMT", "version": "v2" } ]

2009-11-11

[ [ "Tong", "David", "" ] ]

Certain gauge theories in four dimensions are known to admit semi-classical D-brane solitons. These are domain walls on which vortex flux tubes may end. The purpose of this paper is to develop an open-string description of these D-branes. The dynamics of the domain walls is shown to be governed by a Chern-Simons-Higgs theory which, at the quantum level, captures the classical "closed string" scattering of domain wall solitons.

9.567157

8.074532

9.338138

8.293207

8.33873

8.939168

8.335225

8.055414

8.167821

9.953224

8.390061

8.491135

9.174812

8.505667

8.757117

8.49787

8.441384

8.67161

8.3956

9.600977

8.646131

2111.03682

Eric Lescano

Eric Lescano and Nahuel Mir\'on-Granese

Double Field Theory with matter and its cosmological application

V2: 28 pages. Discussions and references added

null

hep-th astro-ph.CO gr-qc

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

The phase space formulation of Double Field Theory (DFT) indicates that statistical matter can be included in terms of (T-)duality multiplets. We propose the inclusion of a perfect fluid in the geometry of DFT through a generalized energy-momentum tensor written in terms of a DFT pressure, energy density and velocity. The latter is an $O(D,D)$ vector and satisfies two invariant constraints, in agreement with the on-shell constraints for the generalized momentum. We compute the conservation laws associated to the energy-momentum tensor considering general DFT backgrounds. Then we study cosmological backgrounds using a space-time split, and we find an expression for the DFT cosmological dynamics with the perfect fluid coupled. This proposal reproduces the equations of string cosmology upon parametrization of the DFT Einstein equations.

[ { "created": "Fri, 5 Nov 2021 18:15:43 GMT", "version": "v1" }, { "created": "Mon, 6 Jun 2022 11:51:15 GMT", "version": "v2" } ]

2022-06-07

[ [ "Lescano", "Eric", "" ], [ "Mirón-Granese", "Nahuel", "" ] ]

The phase space formulation of Double Field Theory (DFT) indicates that statistical matter can be included in terms of (T-)duality multiplets. We propose the inclusion of a perfect fluid in the geometry of DFT through a generalized energy-momentum tensor written in terms of a DFT pressure, energy density and velocity. The latter is an $O(D,D)$ vector and satisfies two invariant constraints, in agreement with the on-shell constraints for the generalized momentum. We compute the conservation laws associated to the energy-momentum tensor considering general DFT backgrounds. Then we study cosmological backgrounds using a space-time split, and we find an expression for the DFT cosmological dynamics with the perfect fluid coupled. This proposal reproduces the equations of string cosmology upon parametrization of the DFT Einstein equations.

14.127736

13.605276

14.772

12.209944

13.90382

14.282087

12.971831

13.708552

13.396968

15.588982

13.455528

13.607362

13.388509

13.446363

13.734838

13.308076

13.355744

13.120741

13.01026

13.371225

13.454489

hep-th/9112001

null

E. Raiten

Perturbations of a Stringy Black Hole

15 p

Int.J.Mod.Phys. D1 (1993) 591-604

10.1142/S021827189200029X

null

hep-th

null

We extend the three dimensional stringy black hole of Horne and Horowitz to four dimensions. After a brief discussion of the global properties of the metric, we discuss the stability of the background with respect to small perturbations, following the methods of Gilbert and of Chandrasekhar. The potential for axial perturbations is found to be positive definite.

[ { "created": "Mon, 2 Dec 1991 22:38:05 GMT", "version": "v1" }, { "created": "Wed, 4 Dec 1991 01:09:45 GMT", "version": "v2" } ]

2009-10-22

[ [ "Raiten", "E.", "" ] ]

We extend the three dimensional stringy black hole of Horne and Horowitz to four dimensions. After a brief discussion of the global properties of the metric, we discuss the stability of the background with respect to small perturbations, following the methods of Gilbert and of Chandrasekhar. The potential for axial perturbations is found to be positive definite.

7.947797

8.461655

7.702303

7.372206

7.320194

7.112625

8.919453

7.830156

7.986413

8.10778

7.231646

7.516282

7.795179

7.730909

8.188116

7.725276

7.719718

7.757324

8.208462

7.271029

7.472966

hep-th/0609063

Hironobu Kihara

H. Itoyama, H. Kihara and R. Yoshioka

Partition Functions of Reduced Matrix Models with Classical Gauge Groups

17 pages, 6 figures, typos corrected, more comments included, to appear in Nuclear Physics B

Nucl.Phys.B762:285-300,2007

10.1016/j.nuclphysb.2006.11.001

OCU-PHYS-253

hep-th

null

We evaluate partition functions of matrix models which are given by topologically twisted and dimensionally reduced actions of d=4 N=1 super Yang-Mills theories with classical (semi-)simple gauge groups, SO(2N), SO(2N+1) and USp(2N). The integrals reduce to those over the maximal tori by semi-classical approximation which is exact in reduced models. We carry out residue calculus by developing a diagrammatic method, in which the action of the Weyl groups and therefore counting of multiplicities are explained obviously.

[ { "created": "Sat, 9 Sep 2006 07:37:44 GMT", "version": "v1" }, { "created": "Sat, 4 Nov 2006 10:30:58 GMT", "version": "v2" } ]

2008-11-26

[ [ "Itoyama", "H.", "" ], [ "Kihara", "H.", "" ], [ "Yoshioka", "R.", "" ] ]

We evaluate partition functions of matrix models which are given by topologically twisted and dimensionally reduced actions of d=4 N=1 super Yang-Mills theories with classical (semi-)simple gauge groups, SO(2N), SO(2N+1) and USp(2N). The integrals reduce to those over the maximal tori by semi-classical approximation which is exact in reduced models. We carry out residue calculus by developing a diagrammatic method, in which the action of the Weyl groups and therefore counting of multiplicities are explained obviously.

12.578889

11.690187

13.285185

11.630919

12.044296

12.000419

12.551706

11.219541

10.853765

13.821401

12.042227

12.129439

12.360131

11.342422

11.689613

11.037436

11.589314

11.11265

11.872744

12.005283

11.253413

hep-th/0210098

David Dudal

David Dudal and Henri Verschelde

The mass gap and vacuum energy of the Gross-Neveu model via the 2PPI expansion

14 pages,19 eps figures, revtex4

Phys.Rev. D67 (2003) 025011

10.1103/PhysRevD.67.025011

null

hep-th

null

We introduce the 2PPI (2-point-particle-irreducible) expansion, which sums bubble graphs to all orders. We prove the renormalizibility of this summation. We use it on the Gross-Neveu model to calculate the mass gap and vacuum energy. After an optimization of the expansion, the final results are qualitatively good.

[ { "created": "Thu, 10 Oct 2002 15:04:49 GMT", "version": "v1" } ]

2009-11-07

[ [ "Dudal", "David", "" ], [ "Verschelde", "Henri", "" ] ]

We introduce the 2PPI (2-point-particle-irreducible) expansion, which sums bubble graphs to all orders. We prove the renormalizibility of this summation. We use it on the Gross-Neveu model to calculate the mass gap and vacuum energy. After an optimization of the expansion, the final results are qualitatively good.

11.647566

9.4707

10.14298

9.479177

10.060893

9.701916

9.782843

8.779488

9.056075

11.355027

9.914929

9.835358

9.832786

9.781789

10.365941

10.203383

10.119054

10.246429

9.850595

9.519514

10.841254

1712.03235

Marco Fazzi

Fabio Apruzzi, Marco Fazzi

AdS$_7$/CFT$_6$ with orientifolds

91 pages, 6 figures, 4 tables, 4 appendices; v2: typos fixed, version published in JHEP

null

10.1007/JHEP01(2018)124

null

hep-th

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

AdS$_7$ solutions of massive type IIA have been classified, and are dual to a large class of six-dimensional $(1,0)$ SCFT's whose tensor branch deformations are described by linear quivers of SU groups. Quivers and AdS vacua depend solely on the group theory data of the NS5-D6-D8 brane configurations engineering the field theories. This has allowed for a direct holographic match of their $a$ conformal anomaly. In this paper we extend the match to cases where O6 and O8-planes are present, thereby introducing SO and USp groups in the quivers. In all of them we show that the $a$ anomaly computed in supergravity agrees with the holographic limit of the exact field theory result, which we extract from the anomaly polynomial. As a byproduct we construct special AdS$_7$ vacua dual to nonperturbative F-theory configurations. Finally, we propose a holographic $a$-theorem for six-dimensional Higgs branch RG flows.

[ { "created": "Fri, 8 Dec 2017 19:00:00 GMT", "version": "v1" }, { "created": "Mon, 15 Jan 2018 15:41:52 GMT", "version": "v2" } ]

2018-03-14

[ [ "Apruzzi", "Fabio", "" ], [ "Fazzi", "Marco", "" ] ]

AdS$_7$ solutions of massive type IIA have been classified, and are dual to a large class of six-dimensional $(1,0)$ SCFT's whose tensor branch deformations are described by linear quivers of SU groups. Quivers and AdS vacua depend solely on the group theory data of the NS5-D6-D8 brane configurations engineering the field theories. This has allowed for a direct holographic match of their $a$ conformal anomaly. In this paper we extend the match to cases where O6 and O8-planes are present, thereby introducing SO and USp groups in the quivers. In all of them we show that the $a$ anomaly computed in supergravity agrees with the holographic limit of the exact field theory result, which we extract from the anomaly polynomial. As a byproduct we construct special AdS$_7$ vacua dual to nonperturbative F-theory configurations. Finally, we propose a holographic $a$-theorem for six-dimensional Higgs branch RG flows.

9.25897

7.836211

12.072163

8.230376

8.809808

8.434597

7.893037

7.968008

7.955289

11.256967

7.753271

7.910793

9.219136

8.123982

8.275403

7.894328

8.043924

7.744495

8.07572

8.811792

8.054807

1107.0758

Steven Willison

Pablo Mora, Pablo Pais and Steven Willison

Gauged WZW models for space-time groups and gravitational actions

26 pages, no figures

null

10.1103/PhysRevD.84.044058

null

hep-th gr-qc

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

In this paper we investigate gauged Wess-Zumino-Witten models for space-time groups as gravitational theories, following the trend of recent work by Anabalon, Willison and Zanelli. We discuss the field equations in any dimension and study in detail the simplest case of two space-time dimensions and gauge group SO(2,1). For this model we study black hole solutions and we calculate their mass and entropy which resulted in a null value for both.

[ { "created": "Mon, 4 Jul 2011 23:59:03 GMT", "version": "v1" } ]

2015-05-28

[ [ "Mora", "Pablo", "" ], [ "Pais", "Pablo", "" ], [ "Willison", "Steven", "" ] ]

In this paper we investigate gauged Wess-Zumino-Witten models for space-time groups as gravitational theories, following the trend of recent work by Anabalon, Willison and Zanelli. We discuss the field equations in any dimension and study in detail the simplest case of two space-time dimensions and gauge group SO(2,1). For this model we study black hole solutions and we calculate their mass and entropy which resulted in a null value for both.

10.720081

12.741364

12.381961

9.530548

10.486934

10.963045

11.445979

10.727416

11.5411

10.757777

10.806969

10.079998

10.841269

9.703521

10.022661

10.227191

9.887242

9.934534

9.874865

10.776946

9.861764

1801.03658

Yoji Koyama

Chong-Sun Chu, Yoji Koyama

Soft Hair of Dynamical Black Hole and Hawking Radiation

26 pages. 2 figures. v2: References added

null

10.1007/JHEP04(2018)056

NCTS-TH/1801

hep-th gr-qc

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

Soft hair of black hole has been proposed recently to play an important role in the resolution of the black hole information paradox. Recent work has emphasized that the soft modes cannot affect the black hole S-matrix due to Weinberg soft theorems. However as soft hair is generated by supertranslation of geometry which involves an angular dependent shift of time, it must have nontrivial quantum effects. We consider supertranslation of the Vaidya black hole and construct a non-spherical symmetric dynamical spacetime with soft hair. We show that this spacetime admits a trapping horizon and is a dynamical black hole. We find that Hawking radiation is emitted from the trapped horizon of the dynamical black hole. The Hawking radiation has a spectrum which depends on the soft hair of the black hole and this is consistent with the factorization property of the black hole S-matrix.

[ { "created": "Thu, 11 Jan 2018 08:10:00 GMT", "version": "v1" }, { "created": "Tue, 16 Jan 2018 11:41:56 GMT", "version": "v2" } ]

2018-05-09

[ [ "Chu", "Chong-Sun", "" ], [ "Koyama", "Yoji", "" ] ]

Soft hair of black hole has been proposed recently to play an important role in the resolution of the black hole information paradox. Recent work has emphasized that the soft modes cannot affect the black hole S-matrix due to Weinberg soft theorems. However as soft hair is generated by supertranslation of geometry which involves an angular dependent shift of time, it must have nontrivial quantum effects. We consider supertranslation of the Vaidya black hole and construct a non-spherical symmetric dynamical spacetime with soft hair. We show that this spacetime admits a trapping horizon and is a dynamical black hole. We find that Hawking radiation is emitted from the trapped horizon of the dynamical black hole. The Hawking radiation has a spectrum which depends on the soft hair of the black hole and this is consistent with the factorization property of the black hole S-matrix.

8.760352

7.852406

8.944807

7.434068

8.143425

8.370762

7.739104

7.834632

7.86795

8.722569

7.543399

7.674584

8.015924

7.843156

7.621153

7.344711

7.712739

7.37376

7.989867

7.94049

7.840722

1409.5421

Yukihiro Fujimoto

Tomo-hiro Abe, Yukihiro Fujimoto, Tatsuo Kobayashi, Takashi Miura, Kenji Nishiwaki, Makoto Sakamoto

Operator analysis of physical states on magnetized $T^{2}/Z_{N}$ orbifolds

41 pages, 1 figure

null

10.1016/j.nuclphysb.2014.11.022

EHOU-14-003, HRI-P-14-02-001, KOBE-TH-14-02, KUNS-2485, OU-HET-827, RECAPP-HRI-2014-004

hep-th hep-ph

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

We discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases $T^{2}/Z_{3}$, $T^{2}/Z_{4}$ and $T^{2}/Z_{6}$. We can obtain the exact and analytical results which can be applicable for any larger values of the quantized magnetic flux M, and show that the (non-diagonalized) kinetic terms are generated via our formalism and the number of the surviving physical states are calculable in a rigorous manner by simply following usual procedures in linear algebra in any case. Our approach is very powerful when we try to examine properties of the physical states on (complicated) magnetized orbifolds $T^{2}/Z_{3}$, $T^{2}/Z_{4}$, $T^{2}/Z_{6}$ (and would be in other cases on higher-dimensional torus) and could be an essential tool for actual realistic model construction based on these geometries.

[ { "created": "Thu, 18 Sep 2014 19:43:19 GMT", "version": "v1" }, { "created": "Tue, 23 Dec 2014 22:15:04 GMT", "version": "v2" } ]

2014-12-25

[ [ "Abe", "Tomo-hiro", "" ], [ "Fujimoto", "Yukihiro", "" ], [ "Kobayashi", "Tatsuo", "" ], [ "Miura", "Takashi", "" ], [ "Nishiwaki", "Kenji", "" ], [ "Sakamoto", "Makoto", "" ] ]

We discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases $T^{2}/Z_{3}$, $T^{2}/Z_{4}$ and $T^{2}/Z_{6}$. We can obtain the exact and analytical results which can be applicable for any larger values of the quantized magnetic flux M, and show that the (non-diagonalized) kinetic terms are generated via our formalism and the number of the surviving physical states are calculable in a rigorous manner by simply following usual procedures in linear algebra in any case. Our approach is very powerful when we try to examine properties of the physical states on (complicated) magnetized orbifolds $T^{2}/Z_{3}$, $T^{2}/Z_{4}$, $T^{2}/Z_{6}$ (and would be in other cases on higher-dimensional torus) and could be an essential tool for actual realistic model construction based on these geometries.

10.829411

12.431029

11.659063

10.967113

12.029336

11.217326

11.84091

11.278901

11.165849

11.746044

11.373332

11.073722

10.939064

10.854787

11.07458

11.110973

10.886997

10.713137

10.909908

11.216804

10.942656

hep-th/9601122

Andjelka Andrasi

A. Andra\v{s}i, J.C. Taylor

Renormalization of Wilson Operators in Minkowski space

plain tex, 8 pages, 5 figures not included

Nucl.Phys. B516 (1998) 417-425

10.1016/S0550-3213(97)00769-4

RBI-TH-01/96

hep-th

null

We make some comments on the renormalization of Wilson operators (not just vacuum -expectation values of Wilson operators), and the features which arise in Minkowski space. If the Wilson loop contains a straight light-like segment, charge renormalization does not work in a simple graph-by-graph way; but does work when certain graphs are added together. We also verify that, in a simple example of a smooth loop in Minkowski space, the existence of pairs of points which are light-like separated does not cause any extra divergences.

[ { "created": "Tue, 23 Jan 1996 10:48:55 GMT", "version": "v1" } ]

2009-10-30

[ [ "Andraši", "A.", "" ], [ "Taylor", "J. C.", "" ] ]

We make some comments on the renormalization of Wilson operators (not just vacuum -expectation values of Wilson operators), and the features which arise in Minkowski space. If the Wilson loop contains a straight light-like segment, charge renormalization does not work in a simple graph-by-graph way; but does work when certain graphs are added together. We also verify that, in a simple example of a smooth loop in Minkowski space, the existence of pairs of points which are light-like separated does not cause any extra divergences.

14.173906

13.660069

14.544636

13.077121

14.056465

14.457747

13.943635

13.616134

13.286552

14.626045

12.766069

12.665791

13.187808

12.684179

13.840783

13.437922

13.351511

14.025579

13.546879

13.297283

13.258598

hep-th/0509216

David Tong

TASI Lectures on Solitons

139 (small) pages. Lots of figures. This is an extended write up of lectures given at TASI, June 2005. v2-5: typos corrected, references added

null

hep-th

null

These lectures cover aspects of solitons with focus on applications to the quantum dynamics of supersymmetric gauge theories and string theory. The lectures consist of four sections, each dealing with a different soliton. We start with instantons and work down in co-dimension to monopoles, vortices and, eventually, domain walls. Emphasis is placed on the moduli space of solitons and, in particular, on the web of connections that links solitons of different types. The D-brane realization of the ADHM and Nahm construction for instantons and monopoles is reviewed, together with related constructions for vortices and domain walls. Each lecture ends with a series of vignettes detailing the roles solitons play in the quantum dynamics of supersymmetric gauge theories in various dimensions. This includes applications to the AdS/CFT correspondence, little string theory, S-duality, cosmic strings, and the quantitative correspondence between 2d sigma models and 4d gauge theories.

[ { "created": "Wed, 28 Sep 2005 17:34:22 GMT", "version": "v1" }, { "created": "Thu, 29 Sep 2005 16:57:50 GMT", "version": "v2" }, { "created": "Fri, 7 Oct 2005 15:27:40 GMT", "version": "v3" }, { "created": "Tue, 22 Nov 2005 12:51:03 GMT", "version": "v4" }, { "created": "Mon, 19 Dec 2005 14:23:58 GMT", "version": "v5" } ]

2007-05-23

[ [ "Tong", "David", "" ] ]

These lectures cover aspects of solitons with focus on applications to the quantum dynamics of supersymmetric gauge theories and string theory. The lectures consist of four sections, each dealing with a different soliton. We start with instantons and work down in co-dimension to monopoles, vortices and, eventually, domain walls. Emphasis is placed on the moduli space of solitons and, in particular, on the web of connections that links solitons of different types. The D-brane realization of the ADHM and Nahm construction for instantons and monopoles is reviewed, together with related constructions for vortices and domain walls. Each lecture ends with a series of vignettes detailing the roles solitons play in the quantum dynamics of supersymmetric gauge theories in various dimensions. This includes applications to the AdS/CFT correspondence, little string theory, S-duality, cosmic strings, and the quantitative correspondence between 2d sigma models and 4d gauge theories.

6.418219

6.069591

6.58074

5.990194

6.315773

6.058213

6.129915

6.258528

5.872868

7.255313

6.060966

5.945598

6.175798

5.833008

5.968435

6.110471

5.967993

6.042498

6.016784

6.037838

5.910755

1908.05281

Indranil Halder

Global Symmetry and Maximal Chaos

25 pages

null

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

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

In this note we study chaos in generic quantum systems with a global symmetry generalizing seminal work [arXiv : 1503.01409] by Maldacena, Shenker and Stanford. We conjecture a bound on instantaneous chaos exponent in a thermodynamic ensemble at temperature $T$ and chemical potential $\mu$ for the continuous global symmetry under consideration. For local operators which could create excitation up to some fixed charge, the bound on chaos (Lyapunov) exponent is independent of chemical potential $\lambda_L \leq \frac{2 \pi T}{ \hbar} $. On the other hand when the operators could create excitation of arbitrary high charge, we find that exponent must satisfy $\lambda_L \leq \frac{2 \pi T}{(1-|\frac{\mu}{\mu_c}|) \hbar} $, where $\mu_c$ is the maximum value of chemical potential for which the thermodynamic ensemble makes sense. As specific examples of quantum mechanical systems we consider conformal field theories. In a generic conformal field theory with internal $U(1)$ symmetry living on a cylinder the former bound is applicable, whereas in more interesting examples of holographic two dimensional conformal field theories dual to Einstein gravity, we argue that later bound is saturated in presence of a non-zero chemical potential for rotation.

[ { "created": "Wed, 14 Aug 2019 18:00:05 GMT", "version": "v1" }, { "created": "Sun, 18 Aug 2019 11:18:25 GMT", "version": "v2" }, { "created": "Thu, 22 Aug 2019 07:27:36 GMT", "version": "v3" }, { "created": "Wed, 25 Sep 2019 14:06:29 GMT", "version": "v4" }, { "created": "Sun, 6 Oct 2019 07:42:52 GMT", "version": "v5" }, { "created": "Tue, 22 Oct 2019 03:52:44 GMT", "version": "v6" } ]

2019-10-23

[ [ "Halder", "Indranil", "" ] ]

In this note we study chaos in generic quantum systems with a global symmetry generalizing seminal work [arXiv : 1503.01409] by Maldacena, Shenker and Stanford. We conjecture a bound on instantaneous chaos exponent in a thermodynamic ensemble at temperature $T$ and chemical potential $\mu$ for the continuous global symmetry under consideration. For local operators which could create excitation up to some fixed charge, the bound on chaos (Lyapunov) exponent is independent of chemical potential $\lambda_L \leq \frac{2 \pi T}{ \hbar} $. On the other hand when the operators could create excitation of arbitrary high charge, we find that exponent must satisfy $\lambda_L \leq \frac{2 \pi T}{(1-|\frac{\mu}{\mu_c}|) \hbar} $, where $\mu_c$ is the maximum value of chemical potential for which the thermodynamic ensemble makes sense. As specific examples of quantum mechanical systems we consider conformal field theories. In a generic conformal field theory with internal $U(1)$ symmetry living on a cylinder the former bound is applicable, whereas in more interesting examples of holographic two dimensional conformal field theories dual to Einstein gravity, we argue that later bound is saturated in presence of a non-zero chemical potential for rotation.

8.326718

7.475727

8.963729

7.247794

7.320253

7.738368

7.807519

7.940439

7.082007

9.884892

7.79637

7.499593

8.586208

7.528601

7.526381

7.795641

7.515819

7.731819

7.525473

8.100023

7.7736

1508.00501

Eliot Hijano

Eliot Hijano, Per Kraus, Eric Perlmutter, River Snively

Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks

54 pages + refs

null

10.1007/JHEP01(2016)146

null

hep-th

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

We develop a new method for decomposing Witten diagrams into conformal blocks. The steps involved are elementary, requiring no explicit integration, and operate directly in position space. Central to this construction is an appealingly simple answer to the question: what object in AdS computes a conformal block? The answer is a "geodesic Witten diagram," which is essentially an ordinary exchange Witten diagram, except that the cubic vertices are not integrated over all of AdS, but only over bulk geodesics connecting the boundary operators. In particular, we consider the case of four-point functions of scalar operators, and show how to easily reproduce existing results for the relevant conformal blocks in arbitrary dimension.

[ { "created": "Mon, 3 Aug 2015 17:36:45 GMT", "version": "v1" }, { "created": "Fri, 11 Sep 2015 03:25:44 GMT", "version": "v2" } ]

2016-02-17

[ [ "Hijano", "Eliot", "" ], [ "Kraus", "Per", "" ], [ "Perlmutter", "Eric", "" ], [ "Snively", "River", "" ] ]

We develop a new method for decomposing Witten diagrams into conformal blocks. The steps involved are elementary, requiring no explicit integration, and operate directly in position space. Central to this construction is an appealingly simple answer to the question: what object in AdS computes a conformal block? The answer is a "geodesic Witten diagram," which is essentially an ordinary exchange Witten diagram, except that the cubic vertices are not integrated over all of AdS, but only over bulk geodesics connecting the boundary operators. In particular, we consider the case of four-point functions of scalar operators, and show how to easily reproduce existing results for the relevant conformal blocks in arbitrary dimension.

8.25587

7.831857

11.4568

7.878098

8.056607

9.131059

8.334204

8.390963

7.773933

10.100259

8.236644

8.029552

8.898445

8.182478

7.908998

8.310754

7.862705

8.120284

8.107539

9.059298

8.413871

hep-th/0311165

Jose Alexandre Nogueira

J. A. Nogueira and D. Possa

Boundary Conditions as Mass Generation Mechanism for Complex Scalar Fields

8 pages

null

hep-th

null

We consider the effects of homogeneous Dirichlet's boundary conditions in the scalar electrodynamics with self-interaction. We have found for a critical scale of the compactification length that symmetry is restored and scalar field develops mass and vector field does not.

[ { "created": "Tue, 18 Nov 2003 15:11:58 GMT", "version": "v1" } ]

2007-05-23

[ [ "Nogueira", "J. A.", "" ], [ "Possa", "D.", "" ] ]

We consider the effects of homogeneous Dirichlet's boundary conditions in the scalar electrodynamics with self-interaction. We have found for a critical scale of the compactification length that symmetry is restored and scalar field develops mass and vector field does not.

23.552572

21.830633

21.60696

21.713232

20.334299

20.344948

20.067047

19.913794

20.600189

21.010054

18.823002

20.705133

22.127625

19.378675

19.474607

20.224613

18.982979

19.578602

20.204954

20.336308

19.435408

hep-th/0312216

Keith R. Dienes

Keith R. Dienes, Michael Lennek

Adventures in Thermal Duality (I): Extracting Closed-Form Solutions for Finite-Temperature Effective Potentials in String Theory

25 pages, LaTeX, 3 figures

Phys.Rev. D70 (2004) 126005

10.1103/PhysRevD.70.126005

null

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

null

Thermal duality, which relates the physics of closed strings at temperature T to the physics at the inverse temperature 1/T, is one of the most intriguing features of string thermodynamics. Unfortunately, the classical definitions of thermodynamic quantities such as entropy and specific heat are not invariant under the thermal duality symmetry. In this paper, we investigate whether there might nevertheless exist special solutions for the string effective potential such that the duality symmetry will be preserved for all thermodynamic quantities. Imposing this as a constraint, we derive a series of unique functional forms for the complete temperature-dependence of the required string effective potentials. Moreover, we demonstrate that these solutions successfully capture the leading behavior of a variety of actual one-loop effective potentials for duality-covariant finite-temperature string ground states. This leads us to conjecture that our solutions might actually represent the exact effective potentials when contributions from all orders of perturbation theory are included.

[ { "created": "Thu, 18 Dec 2003 20:17:21 GMT", "version": "v1" } ]

2009-11-10

[ [ "Dienes", "Keith R.", "" ], [ "Lennek", "Michael", "" ] ]

Thermal duality, which relates the physics of closed strings at temperature T to the physics at the inverse temperature 1/T, is one of the most intriguing features of string thermodynamics. Unfortunately, the classical definitions of thermodynamic quantities such as entropy and specific heat are not invariant under the thermal duality symmetry. In this paper, we investigate whether there might nevertheless exist special solutions for the string effective potential such that the duality symmetry will be preserved for all thermodynamic quantities. Imposing this as a constraint, we derive a series of unique functional forms for the complete temperature-dependence of the required string effective potentials. Moreover, we demonstrate that these solutions successfully capture the leading behavior of a variety of actual one-loop effective potentials for duality-covariant finite-temperature string ground states. This leads us to conjecture that our solutions might actually represent the exact effective potentials when contributions from all orders of perturbation theory are included.

8.760277

8.215286

9.312199

8.333882

8.312086

8.418914

8.536243

8.375349

8.912828

9.763349

8.189793

8.121017

8.543546

8.227543

8.128533

8.13454

7.88586

8.17301

8.249505

8.765481

8.121594

2205.06208

Mikhail Pavlov

Example of the $4$-pt non-vacuum $\mathcal{W}_3$ classical block

V2: 18 pages, typos corrected, comments and references added

null

10.1016/j.physletb.2023.137855

null

hep-th

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

In this note, we study a special case of the $4$-pt non-vacuum classical block associated with the $\mathcal{W}_3$ algebra. We formulate the monodromy problem for the block and derive monodromy equations within the heavy-light approximation. Fixing the remaining functional arbitrariness using parameters of the $4$-pt vacuum $\mathcal{W}_3$ block, we compute the $4$-pt non-vacuum $\mathcal{W}_3$ block function.

[ { "created": "Thu, 12 May 2022 16:45:48 GMT", "version": "v1" }, { "created": "Mon, 24 Jul 2023 04:57:17 GMT", "version": "v2" } ]

2023-07-25

[ [ "Pavlov", "Mikhail", "" ] ]

In this note, we study a special case of the $4$-pt non-vacuum classical block associated with the $\mathcal{W}_3$ algebra. We formulate the monodromy problem for the block and derive monodromy equations within the heavy-light approximation. Fixing the remaining functional arbitrariness using parameters of the $4$-pt vacuum $\mathcal{W}_3$ block, we compute the $4$-pt non-vacuum $\mathcal{W}_3$ block function.

8.640522

7.562662

9.909778

7.213607

7.258372

7.655629

7.660681

7.17314

7.654352

9.974545

7.182328

7.575923

8.609698

7.231075

7.356338

7.487792

7.306251

7.525085

7.284723

8.396715

7.568436

0908.2756

Alexander Sevrin

Alexander Sevrin, Wieland Staessens, Alexander Wijns

An N=2 worldsheet approach to D-branes in bihermitian geometries: II. The general case

LaTeX, JHEP3.cls, 57 pages

JHEP 0909:105,2009

10.1088/1126-6708/2009/09/105

null

hep-th

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

We complete the investigation of N=(2,2) supersymmetric nonlinear sigma-models in the presence of a boundary. We study the full bihermitian geometry parameterized by chiral, twisted chiral and semi-chiral superfields and identify the D-brane configurations preserving an N=2 worldsheet supersymmetry. Combining twisted with semi-chiral superfields leads to a clearly defined notion of lagrangian and coisotropic branes generalizing lagrangian and coisotropic A-branes on Kahler manifolds to manifolds which are not necessarily Kahler (but still bihermitian). Adding chiral fields complicates the picture and results in hybrid configurations interpolating between lagrangian/coisotropic branes and branes wrapping around a holomorphic cycle. Even here the branes can be viewed as coisotropic submanifolds albeit in a generalized sense. All supersymmetric D-brane configurations are characterized in the context of generalized complex geometry. Duality transformations interchanging the various types of superfields while preserving all supersymmetries are explicitly constructed and provide for a powerful technique to construct various highly non-trivial D-brane configurations. Several explicit examples are given.

[ { "created": "Wed, 19 Aug 2009 14:47:02 GMT", "version": "v1" } ]

2009-11-06

[ [ "Sevrin", "Alexander", "" ], [ "Staessens", "Wieland", "" ], [ "Wijns", "Alexander", "" ] ]

We complete the investigation of N=(2,2) supersymmetric nonlinear sigma-models in the presence of a boundary. We study the full bihermitian geometry parameterized by chiral, twisted chiral and semi-chiral superfields and identify the D-brane configurations preserving an N=2 worldsheet supersymmetry. Combining twisted with semi-chiral superfields leads to a clearly defined notion of lagrangian and coisotropic branes generalizing lagrangian and coisotropic A-branes on Kahler manifolds to manifolds which are not necessarily Kahler (but still bihermitian). Adding chiral fields complicates the picture and results in hybrid configurations interpolating between lagrangian/coisotropic branes and branes wrapping around a holomorphic cycle. Even here the branes can be viewed as coisotropic submanifolds albeit in a generalized sense. All supersymmetric D-brane configurations are characterized in the context of generalized complex geometry. Duality transformations interchanging the various types of superfields while preserving all supersymmetries are explicitly constructed and provide for a powerful technique to construct various highly non-trivial D-brane configurations. Several explicit examples are given.

7.801688

7.734972

8.861901

7.448794

7.895239

7.439207

7.777322

7.437816

7.308497

8.787431

7.26978

7.311208

8.36984

7.471871

7.356273

7.551923

7.568803

7.586614

7.476204

7.997571

7.340398

hep-th/9410174

Valeri Dvoeglazov

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

Can the $2(2j+1)$ component Weinberg-Tucker-Hammer equations describe the electromagnetic field?

LaTeX file. 7pp

Annales Fond.Broglie 23:116-120,1998

null

EFUAZ FT-94-09-REV

hep-th

null

It is shown that the massless $j=1$ Weinberg-Tucker-Hammer equations reduce to the Maxwell's equations for electromagnetic field under the definite choice of field functions and initial and boundary conditions. Thus, the former appear to be of use in a description of some physical processes for which that could be necessitated or be convenient. The possible consequences are discussed.

[ { "created": "Sun, 23 Oct 1994 19:22:44 GMT", "version": "v1" } ]

2014-11-18

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

It is shown that the massless $j=1$ Weinberg-Tucker-Hammer equations reduce to the Maxwell's equations for electromagnetic field under the definite choice of field functions and initial and boundary conditions. Thus, the former appear to be of use in a description of some physical processes for which that could be necessitated or be convenient. The possible consequences are discussed.

22.9785

21.693445

25.052891

21.476349

19.16925

19.311131

19.827988

20.758619

19.784628

25.400579

20.21435

20.012814

21.179316

21.036026

19.152971

20.573563

18.867037

21.22401

19.856543

21.769444

20.637827

hep-th/0212016

Marco Krohn

Marco Krohn, Michael Flohr

Ghost Systems Revisited: Modified Virasoro Generators and Logarithmic Conformal Field Theories

24+1 pages LaTeX2e. Corrected an erroneous EU network number in the acknowledgments to HPRN-CT-2002-00325

JHEP 0301 (2003) 020

10.1088/1126-6708/2003/01/020

ITP-UH-26/02

hep-th

null

We study the possibility of extending ghost systems with higher spin to a logarithmic conformal field theory. In particular we are interested in c=-26 which turns out to behave very differently to the already known c=-2 case. The energy momentum tensor cannot be built anymore by a combination of derivatives of generalized symplectic fermion fields. Moreover, the logarithmically extended theory is only consistent when considered on nontrivial Riemann surfaces. This results in a LCFT with some unexpected properties. For instance the Virasoro mode L_0 is diagonal and for certain values of the deformation parameters even the whole global conformal group is non-logarithmic.

[ { "created": "Mon, 2 Dec 2002 16:06:09 GMT", "version": "v1" }, { "created": "Fri, 28 Nov 2003 11:17:43 GMT", "version": "v2" } ]

2009-11-07

[ [ "Krohn", "Marco", "" ], [ "Flohr", "Michael", "" ] ]

We study the possibility of extending ghost systems with higher spin to a logarithmic conformal field theory. In particular we are interested in c=-26 which turns out to behave very differently to the already known c=-2 case. The energy momentum tensor cannot be built anymore by a combination of derivatives of generalized symplectic fermion fields. Moreover, the logarithmically extended theory is only consistent when considered on nontrivial Riemann surfaces. This results in a LCFT with some unexpected properties. For instance the Virasoro mode L_0 is diagonal and for certain values of the deformation parameters even the whole global conformal group is non-logarithmic.

14.869558

13.952121

16.144533

14.25736

17.064037

16.636471

16.067755

13.775885

14.823517

20.559523

14.37744

14.313371

15.381259

13.893771

14.288358

13.963776

14.075993

14.104987

13.719276

15.458647

14.058362

hep-th/0210161

Paul Fendley

Paul Fendley, Kareljan Schoutens and Jan de Boer

Lattice Models with N=2 Supersymmetry

4 pages

Phys.Rev.Lett. 90 (2003) 120402

10.1103/PhysRevLett.90.120402

null

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

null

We introduce lattice models with explicit N=2 supersymmetry. In these interacting models, the supersymmetry generators Q^+ and Q^- yield the Hamiltonian H={Q^+,Q^-} on any graph. The degrees of freedom can be described as either fermions with hard cores, or as quantum dimers. The Hamiltonian of our simplest model contains a hopping term and a repulsive potential, as well as the hard-core repulsion. We discuss these models from a variety of perspectives: using a fundamental relation with conformal field theory, via the Bethe ansatz, and using cohomology methods. The simplest model provides a manifestly-supersymmetric lattice regulator for the supersymmetric point of the massless 1+1-dimensional Thirring (Luttinger) model. We discuss the ground-state structure of this same model on more complicated graphs, including a 2-leg ladder, and discuss some generalizations.

[ { "created": "Thu, 17 Oct 2002 18:01:59 GMT", "version": "v1" } ]

2009-11-07

[ [ "Fendley", "Paul", "" ], [ "Schoutens", "Kareljan", "" ], [ "de Boer", "Jan", "" ] ]

We introduce lattice models with explicit N=2 supersymmetry. In these interacting models, the supersymmetry generators Q^+ and Q^- yield the Hamiltonian H={Q^+,Q^-} on any graph. The degrees of freedom can be described as either fermions with hard cores, or as quantum dimers. The Hamiltonian of our simplest model contains a hopping term and a repulsive potential, as well as the hard-core repulsion. We discuss these models from a variety of perspectives: using a fundamental relation with conformal field theory, via the Bethe ansatz, and using cohomology methods. The simplest model provides a manifestly-supersymmetric lattice regulator for the supersymmetric point of the massless 1+1-dimensional Thirring (Luttinger) model. We discuss the ground-state structure of this same model on more complicated graphs, including a 2-leg ladder, and discuss some generalizations.

10.055861

11.154551

11.088033

10.045971

9.763603

10.46039

9.805928

10.910171

10.81733

12.582893

10.243179

9.870684

10.243338

9.576151

10.037596

9.828979

9.542454

9.67248

9.600513

10.610179

9.815478

1410.6316

Andrei Barvinsky

A. O. Barvinsky

Holography beyond conformal invariance and AdS isometry?

16 pages, LaTeX, prepared for a special issue of JETP dedicated to the 60th birthday of Valery Rubakov

null

10.1134/S1063776115030036

CERN-PH-TH-2014-202

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

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

We suggest that the principle of holographic duality can be extended beyond conformal invariance and AdS isometry. Such an extension is based on a special relation between functional determinants of the operators acting in the bulk and on its boundary, provided that the boundary operator represents the inverse propagators of the theory induced on the boundary by the Dirichlet boundary value problem from the bulk spacetime. This relation holds for operators of general spin-tensor structure on generic manifolds with boundaries irrespective of their background geometry and conformal invariance, and it apparently underlies numerous $O(N^0)$ tests of AdS/CFT correspondence, based on direct calculation of the bulk and boundary partition functions, Casimir energies and conformal anomalies. The generalized holographic duality is discussed within the concept of the "double-trace" deformation of the boundary theory, which is responsible in the case of large $N$ CFT coupled to the tower of higher spin gauge fields for the renormalization group flow between infrared and ultraviolet fixed points. Potential extension of this method beyond one-loop order is also briefly discussed.

[ { "created": "Thu, 23 Oct 2014 10:39:58 GMT", "version": "v1" } ]

2015-06-23

[ [ "Barvinsky", "A. O.", "" ] ]

We suggest that the principle of holographic duality can be extended beyond conformal invariance and AdS isometry. Such an extension is based on a special relation between functional determinants of the operators acting in the bulk and on its boundary, provided that the boundary operator represents the inverse propagators of the theory induced on the boundary by the Dirichlet boundary value problem from the bulk spacetime. This relation holds for operators of general spin-tensor structure on generic manifolds with boundaries irrespective of their background geometry and conformal invariance, and it apparently underlies numerous $O(N^0)$ tests of AdS/CFT correspondence, based on direct calculation of the bulk and boundary partition functions, Casimir energies and conformal anomalies. The generalized holographic duality is discussed within the concept of the "double-trace" deformation of the boundary theory, which is responsible in the case of large $N$ CFT coupled to the tower of higher spin gauge fields for the renormalization group flow between infrared and ultraviolet fixed points. Potential extension of this method beyond one-loop order is also briefly discussed.

9.395497

10.021828

11.638575

9.719717

10.313168

10.359439

9.920694

10.184916

9.446347

11.087318

9.263618

8.811313

9.604347

9.144745

9.117493

9.128734

9.339413

9.104273

9.401207

9.507044

8.932666

hep-th/0103108

Danny Birmingham

Danny Birmingham and Soussan Mokhtari

The Cardy-Verlinde Formula and Taub-Bolt-AdS Spacetimes

7 pages, Latex

Phys.Lett.B508:365-368,2001

10.1016/S0370-2693(01)00527-5

null

hep-th

null

We consider the conformal field theory which is dual to the Taub-Bolt-AdS spacetime. It is shown that the Cardy-Verlinde formula for the entropy of the conformal field theory agrees precisely with the entropy of the Taub-Bolt-AdS spacetime, at high temperatures. This result may be viewed as providing a conformal field theory interpretation of Taub-Bolt-AdS entropy.

[ { "created": "Wed, 14 Mar 2001 15:08:26 GMT", "version": "v1" } ]

2008-11-26

[ [ "Birmingham", "Danny", "" ], [ "Mokhtari", "Soussan", "" ] ]

We consider the conformal field theory which is dual to the Taub-Bolt-AdS spacetime. It is shown that the Cardy-Verlinde formula for the entropy of the conformal field theory agrees precisely with the entropy of the Taub-Bolt-AdS spacetime, at high temperatures. This result may be viewed as providing a conformal field theory interpretation of Taub-Bolt-AdS entropy.

4.520372

3.793531

4.391378

3.855777

4.090379

3.66946

3.699067

3.747375

3.933778

4.291864

3.938892

3.880906

4.21017

3.844309

3.900124

3.854636

4.05432

3.977273

4.058972

4.025499

3.938172

hep-th/0302129

Ignacio Navarro

Codimension Two Compactifications and the Cosmological Constant Problem

4 pages, rextex 4

JCAP 0309 (2003) 004

10.1088/1475-7516/2003/09/004

null

hep-th gr-qc hep-ph

null

We consider solutions of six dimensional Einstein equations with two compact dimensions. It is shown that one can introduce 3-branes in this background in such a way that the effective four dimensional cosmological constant is completely independent of the brane tensions. These tensions are completely arbitrary, without requiring any fine tuning. We must, however, fine tune bulk parameters in order to obtain a sufficiently small value for the observable cosmological constant. We comment in the effective four dimensional description of this effect at energies below the compactification scale.

[ { "created": "Mon, 17 Feb 2003 17:54:39 GMT", "version": "v1" } ]

2009-11-10

[ [ "Navarro", "Ignacio", "" ] ]

We consider solutions of six dimensional Einstein equations with two compact dimensions. It is shown that one can introduce 3-branes in this background in such a way that the effective four dimensional cosmological constant is completely independent of the brane tensions. These tensions are completely arbitrary, without requiring any fine tuning. We must, however, fine tune bulk parameters in order to obtain a sufficiently small value for the observable cosmological constant. We comment in the effective four dimensional description of this effect at energies below the compactification scale.

11.776345

8.207217

10.435149

9.242129

8.662717

9.408126

9.139313

8.972273

8.668115

10.584242

8.938075

9.482787

10.413958

9.977274

9.879495

9.696873

9.497749

9.499556

9.721031

10.495356

9.817754

1609.06271

Alexey Litvinov

Alexey Litvinov and Lev Spodyneiko

On W algebras commuting with a set of screenings

null

10.1007/JHEP11(2016)138

null

hep-th math-ph math.MP

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

We consider the problem of classification of all W algebras which commute with a set of exponential screening operators. Assuming that the W algebra has a nontrivial current of spin 3, we find equations satisfied by the screening operators and classify their solutions.

[ { "created": "Tue, 20 Sep 2016 18:03:56 GMT", "version": "v1" } ]

2016-12-21

[ [ "Litvinov", "Alexey", "" ], [ "Spodyneiko", "Lev", "" ] ]

We consider the problem of classification of all W algebras which commute with a set of exponential screening operators. Assuming that the W algebra has a nontrivial current of spin 3, we find equations satisfied by the screening operators and classify their solutions.

11.656292

11.1234

14.73418

9.561684

11.569826

11.385802

11.830427

11.430673

9.788867

12.283591

10.697504

10.248685

11.928258

10.297618

10.736078

10.588433

10.695946

9.511041

10.290132

11.289935

11.289367

2207.06449

Christopher Couzens Mr

Christopher Couzens and Koen Stemerdink

Universal spindles: D2's on $\Sigma$ and M5's on $\Sigma\times \mathbb{H}^3$

31 pages, 3 figures

null

hep-th

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

We study the uplift of a 4d black hole in 4d Einstein--Maxwell supergravity with a spindle horizon to massive type IIA and 11d supergravity on $S^4\times \mathbb{H}^3$. The solutions exhibit features distinct to the uplift of the same 4d solution to 11d supergravity on an $S^7$. In particular, whereas the orbifold singularities may be removed in the 11d uplift on an $S^7$, they are always present in both of the classes considered here. We compute the free energy of the solutions giving predictions for the free energy of a class of 3d Chern--Simons theories wrapped on a spindle.

[ { "created": "Wed, 13 Jul 2022 18:02:51 GMT", "version": "v1" } ]

2022-07-15

[ [ "Couzens", "Christopher", "" ], [ "Stemerdink", "Koen", "" ] ]

We study the uplift of a 4d black hole in 4d Einstein--Maxwell supergravity with a spindle horizon to massive type IIA and 11d supergravity on $S^4\times \mathbb{H}^3$. The solutions exhibit features distinct to the uplift of the same 4d solution to 11d supergravity on an $S^7$. In particular, whereas the orbifold singularities may be removed in the 11d uplift on an $S^7$, they are always present in both of the classes considered here. We compute the free energy of the solutions giving predictions for the free energy of a class of 3d Chern--Simons theories wrapped on a spindle.

8.548816

6.764079

8.958882

7.019164

7.907099

7.324417

7.438101

7.106725

7.134504

9.425805

7.183635

7.557058

8.383766

7.687456

7.451467

7.914293

7.726318

7.594381

7.872106

8.12844

7.822101

hep-th/0004094

Miguel Vazquez Mozo

A. Feinstein, K.E. Kunze and M.A. Vazquez-Mozo

Entropy generation and inflation in wave collision induced pre-big-bang cosmology

10 pages, latex. 1 postscript figure included. Bound on the incoming focal lengths extended to strong-coupling terminated inflation. Section 3 expanded. Typos corrected and reference added. Final version to appear in Phys. Lett. B

Phys.Lett. B491 (2000) 190-198

10.1016/S0370-2693(00)01021-2

EHU-FT/0005, ITFA-2000-09, SPIN-2000/12

hep-th astro-ph gr-qc

null

We study inflation and entropy generation in a recently proposed pre-big-bang model universe produced in a collision of gravitational and dilaton waves. It is shown that enough inflation occurs provided the incoming waves are sufficiently weak. We also find that entropy in this model is dynamically generated as the result of the nonlinear interaction of the incoming waves, before the universe enters the phase of dilaton driven inflation. In particular, we give the scaling of the entropy produced in the collision in terms of the focusing lengths of the incoming waves.

[ { "created": "Wed, 12 Apr 2000 19:48:36 GMT", "version": "v1" }, { "created": "Mon, 18 Sep 2000 10:08:01 GMT", "version": "v2" } ]

2009-10-31

[ [ "Feinstein", "A.", "" ], [ "Kunze", "K. E.", "" ], [ "Vazquez-Mozo", "M. A.", "" ] ]

We study inflation and entropy generation in a recently proposed pre-big-bang model universe produced in a collision of gravitational and dilaton waves. It is shown that enough inflation occurs provided the incoming waves are sufficiently weak. We also find that entropy in this model is dynamically generated as the result of the nonlinear interaction of the incoming waves, before the universe enters the phase of dilaton driven inflation. In particular, we give the scaling of the entropy produced in the collision in terms of the focusing lengths of the incoming waves.

10.66554

11.055311

9.536829

9.983422

9.491899

10.555986

10.914132

9.766672

9.553201

11.121275

9.727889

10.203523

9.963306

9.685694

9.81126

10.232163

10.343495

9.730899

9.700356

10.032667

9.988133

1705.10323

Sebastian Mizera

Sebastian Mizera, Guojun Zhang

A String Deformation of the Parke-Taylor Factor

12+10 pages

Phys. Rev. D 96, 066016 (2017)

10.1103/PhysRevD.96.066016

null

hep-th

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

Scattering amplitudes in a range of quantum field theories can be computed using the Cachazo-He-Yuan (CHY) formalism. In theories with colour ordering, the key ingredient is the so-called Parke-Taylor factor. In this note we give a fully $\text{SL}(2,\mathbb{C})$-covariant definition and study the properties of a new integrand called the string Parke-Taylor factor. It has an $\alpha'$ expansion whose leading coefficient is the field-theoretic Parke-Taylor factor. Its main application is that it leads to a CHY formulation of open string tree-level amplitudes. In fact, the definition of the string Parke-Taylor factor was motivated by trying to extend the compact formula for the first $\alpha'$ correction found by He and Zhang, while the main ingredient in its definition is a determinant of a matrix introduced in the context of string theory by Stieberger and Taylor.

[ { "created": "Mon, 29 May 2017 18:00:01 GMT", "version": "v1" } ]

2017-09-20

[ [ "Mizera", "Sebastian", "" ], [ "Zhang", "Guojun", "" ] ]

Scattering amplitudes in a range of quantum field theories can be computed using the Cachazo-He-Yuan (CHY) formalism. In theories with colour ordering, the key ingredient is the so-called Parke-Taylor factor. In this note we give a fully $\text{SL}(2,\mathbb{C})$-covariant definition and study the properties of a new integrand called the string Parke-Taylor factor. It has an $\alpha'$ expansion whose leading coefficient is the field-theoretic Parke-Taylor factor. Its main application is that it leads to a CHY formulation of open string tree-level amplitudes. In fact, the definition of the string Parke-Taylor factor was motivated by trying to extend the compact formula for the first $\alpha'$ correction found by He and Zhang, while the main ingredient in its definition is a determinant of a matrix introduced in the context of string theory by Stieberger and Taylor.

5.801922

5.864512

6.789976

5.543947

6.200623

5.489857

5.949968

5.441648

5.605983

6.633914

5.658577

5.337077

5.732951

5.433305

5.371336

5.368716

5.154653

5.335225

5.28621

5.789797

5.391277

0804.1876

Koichi Murakami

Nobuyuki Ishibashi, Yutaka Baba, Koichi Murakami

D-branes and Closed String Field Theory

8 pages, 2 figures, based on an invited talk presented at the international workshop "Progress of String Theory and Quantum Field Theory" (Osaka City University, December 7-10, 2007), to be published in the proceedings

Int.J.Mod.Phys.A23:2220-2228,2008

10.1142/S0217751X0804086X

UTHEP-558, RIKEN-TH-127

hep-th

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

We construct solitonic states in the OSp invariant string field theory, which are BRST invariant in the leading order of regularization parameter. One can show that these solitonic states describe D-branes and ghost D-branes, by calculating the scattering amplitudes.

[ { "created": "Fri, 11 Apr 2008 11:03:29 GMT", "version": "v1" } ]

2008-11-26

[ [ "Ishibashi", "Nobuyuki", "" ], [ "Baba", "Yutaka", "" ], [ "Murakami", "Koichi", "" ] ]

We construct solitonic states in the OSp invariant string field theory, which are BRST invariant in the leading order of regularization parameter. One can show that these solitonic states describe D-branes and ghost D-branes, by calculating the scattering amplitudes.

14.778633

7.190986

16.779137

7.674688

6.882796

7.166354

6.645256

7.758282

7.96993

14.013634

8.381643

10.062246

13.267076

10.512269

10.259191

9.914114

9.945741

10.814618

10.619623

13.516278

10.14127

hep-th/0006211

Parthasarathi Majumdar

Saurya Das, Romesh K Kaul and Parthasarathi Majumdar

A new holographic entropy bound from quantum geometry

4 pages revtex, no figures; some additions made in text, leading to stronger results; minor changes in the list of references

Phys.Rev. D63 (2001) 044019

10.1103/PhysRevD.63.044019

CGPG-00/6-5

hep-th gr-qc

null

A new entropy bound, tighter than the standard holographic bound due to Bekenstein, is derived for spacetimes with non-rotating isolated horizons, from the quantum geometry approach in which the horizon is described by the boundary degrees of freedom of a three dimensional Chern Simons theory.

[ { "created": "Tue, 27 Jun 2000 14:05:15 GMT", "version": "v1" }, { "created": "Sat, 5 Aug 2000 09:58:49 GMT", "version": "v2" } ]

2009-10-31

[ [ "Das", "Saurya", "" ], [ "Kaul", "Romesh K", "" ], [ "Majumdar", "Parthasarathi", "" ] ]

A new entropy bound, tighter than the standard holographic bound due to Bekenstein, is derived for spacetimes with non-rotating isolated horizons, from the quantum geometry approach in which the horizon is described by the boundary degrees of freedom of a three dimensional Chern Simons theory.

9.519382

9.656749

8.576829

7.652557

9.515121

10.018251

11.040174

8.139585

8.878193

8.003543

9.130947

7.519911

7.78903

7.792596

8.031734

7.728911

7.860013

7.970383

7.89406

7.671929

7.709188

2107.01781

Changhyun Ahn

Adding Complex Fermions to the Grassmannian-like Coset Model

85 pages

null

10.1140/epjc/s10052-021-09858-3

null

hep-th

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

In the ${\cal N}=2$ supersymmetric coset model, $\frac{SU(N+M)_k \times SO(2 N M)_1}{ SU(N)_{k+M} \times U(1)_{ N M (N+M)(k+N+M)}}$, we construct the $SU(M)$ nonsinglet ${\cal N}=2$ multiplet of spins $(1, \frac{3}{2}, \frac{3}{2}, 2)$ in terms of coset fields. The next $SU(M)$ singlet and nonsinglet ${\cal N}=2$ multiplets of spins $(2, \frac{5}{2}, \frac{5}{2}, 3)$ are determined by applying the ${\cal N}=2$ supersymmetry currents of spin $\frac{3}{2}$ to the bosonic singlet and nonsinglet currents of spin $3$ in the bosonic coset model. We also obtain the operator product expansions(OPEs) between the currents of the ${\cal N}=2$ superconformal algebra and above three kinds of ${\cal N}=2$ multiplets. These currents in two dimensions play the role of the asymptotic symmetry, as the generators of ${\cal N}=2$ "rectangular $W$-algebra", of the $M \times M$ matrix generalization of ${\cal N}=2$ $AdS_3$ higher spin theory in the bulk. The structure constants in the right hand sides of these OPEs are dependent on the three parameters $k, N$ and $M$ explicitly. Moreover, the OPEs between $SU(M)$ nonsinglet ${\cal N}=2$ multiplet of spins $(1, \frac{3}{2}, \frac{3}{2}, 2)$ and itself are analyzed in detail. The complete OPE between the lowest component of the $SU(M)$ singlet ${\cal N}=2$ multiplet of spins $(2, \frac{5}{2}, \frac{5}{2}, 3)$ and itself is described. In particular, when $M=2$, it is known that the above ${\cal N}=2$ supersymmetric coset model provides the realization of the extension of the large ${\cal N}=4$ nonlinear superconformal algebra. We determine the currents of the large ${\cal N}=4$ nonlinear superconformal algebra and the higher spin-$\frac{3}{2}, 2$ currents of the lowest ${\cal N}=4$ multiplet for generic $k$ and $N$ in terms of the coset fields.

[ { "created": "Mon, 5 Jul 2021 04:23:40 GMT", "version": "v1" } ]

2022-01-05

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

In the ${\cal N}=2$ supersymmetric coset model, $\frac{SU(N+M)_k \times SO(2 N M)_1}{ SU(N)_{k+M} \times U(1)_{ N M (N+M)(k+N+M)}}$, we construct the $SU(M)$ nonsinglet ${\cal N}=2$ multiplet of spins $(1, \frac{3}{2}, \frac{3}{2}, 2)$ in terms of coset fields. The next $SU(M)$ singlet and nonsinglet ${\cal N}=2$ multiplets of spins $(2, \frac{5}{2}, \frac{5}{2}, 3)$ are determined by applying the ${\cal N}=2$ supersymmetry currents of spin $\frac{3}{2}$ to the bosonic singlet and nonsinglet currents of spin $3$ in the bosonic coset model. We also obtain the operator product expansions(OPEs) between the currents of the ${\cal N}=2$ superconformal algebra and above three kinds of ${\cal N}=2$ multiplets. These currents in two dimensions play the role of the asymptotic symmetry, as the generators of ${\cal N}=2$ "rectangular $W$-algebra", of the $M \times M$ matrix generalization of ${\cal N}=2$ $AdS_3$ higher spin theory in the bulk. The structure constants in the right hand sides of these OPEs are dependent on the three parameters $k, N$ and $M$ explicitly. Moreover, the OPEs between $SU(M)$ nonsinglet ${\cal N}=2$ multiplet of spins $(1, \frac{3}{2}, \frac{3}{2}, 2)$ and itself are analyzed in detail. The complete OPE between the lowest component of the $SU(M)$ singlet ${\cal N}=2$ multiplet of spins $(2, \frac{5}{2}, \frac{5}{2}, 3)$ and itself is described. In particular, when $M=2$, it is known that the above ${\cal N}=2$ supersymmetric coset model provides the realization of the extension of the large ${\cal N}=4$ nonlinear superconformal algebra. We determine the currents of the large ${\cal N}=4$ nonlinear superconformal algebra and the higher spin-$\frac{3}{2}, 2$ currents of the lowest ${\cal N}=4$ multiplet for generic $k$ and $N$ in terms of the coset fields.

3.804287

3.718086

4.292509

3.606256

3.886339

3.641039

3.68289

3.711467

3.731996

4.375186

3.619578

3.708763

3.932386

3.632586

3.693267

3.690045

3.698653

3.68679

3.70919

3.893188

3.700028

1411.2803

Gianmassimo Tasinato

A scenario for inflationary magnetogenesis without strong coupling problem

9 pages plus appendixes, no figures. Streamlined discussion, reference to previous literature better acknowledged

null

10.1088/1475-7516/2015/03/040

null

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

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

Cosmological magnetic fields pervade the entire universe, from small to large scales. Since they apparently extend into the intergalactic medium, it is tantalizing to believe that they have a primordial origin, possibly being produced during inflation. However, finding consistent scenarios for inflationary magnetogenesis is a challenging theoretical problem. The requirements to avoid an excessive production of electromagnetic energy, and to avoid entering a strong coupling regime characterized by large values for the electromagnetic coupling constant, typically allow one to generate only a tiny amplitude of magnetic field during inflation. We propose a scenario for building gauge-invariant models of inflationary magnetogenesis potentially free from these issues. The idea is to derivatively couple a dynamical scalar, not necessarily the inflaton, to fermionic and electromagnetic fields during the inflationary era. Such couplings give additional freedom to control the time-dependence of the electromagnetic coupling constant during inflation. This fact allows us to find conditions to avoid the strong coupling problems that affect many of the existing models of magnetogenesis. We do not need to rely on a particular inflationary set-up for developing our scenario, that might be applied to different realizations of inflation. On the other hand, specific requirements have to be imposed on the dynamics of the scalar derivatively coupled to fermions and electromagnetism, that we are able to satisfy in an explicit realization of our proposal.

[ { "created": "Tue, 11 Nov 2014 13:36:45 GMT", "version": "v1" }, { "created": "Thu, 20 Nov 2014 10:31:41 GMT", "version": "v2" }, { "created": "Mon, 24 Nov 2014 16:11:55 GMT", "version": "v3" }, { "created": "Tue, 3 Mar 2015 18:54:09 GMT", "version": "v4" } ]

2015-06-23

[ [ "Tasinato", "Gianmassimo", "" ] ]

Cosmological magnetic fields pervade the entire universe, from small to large scales. Since they apparently extend into the intergalactic medium, it is tantalizing to believe that they have a primordial origin, possibly being produced during inflation. However, finding consistent scenarios for inflationary magnetogenesis is a challenging theoretical problem. The requirements to avoid an excessive production of electromagnetic energy, and to avoid entering a strong coupling regime characterized by large values for the electromagnetic coupling constant, typically allow one to generate only a tiny amplitude of magnetic field during inflation. We propose a scenario for building gauge-invariant models of inflationary magnetogenesis potentially free from these issues. The idea is to derivatively couple a dynamical scalar, not necessarily the inflaton, to fermionic and electromagnetic fields during the inflationary era. Such couplings give additional freedom to control the time-dependence of the electromagnetic coupling constant during inflation. This fact allows us to find conditions to avoid the strong coupling problems that affect many of the existing models of magnetogenesis. We do not need to rely on a particular inflationary set-up for developing our scenario, that might be applied to different realizations of inflation. On the other hand, specific requirements have to be imposed on the dynamics of the scalar derivatively coupled to fermions and electromagnetism, that we are able to satisfy in an explicit realization of our proposal.

7.477279

8.596066

7.998766

7.907082

8.29086

8.763901

8.35595

8.727819

8.142757

7.95521

8.001875

7.614896

7.718197

7.614449

7.830104

7.493971

7.547738

7.532107

7.611278

7.406566

7.688944

1005.0049

Andrei Mikhailov

Oscar A. Bedoya, L. Ibiapina Bevil\'aqua, Andrei Mikhailov, Victor O. Rivelles

Notes on beta-deformations of the pure spinor superstring in AdS(5) x S(5)

LaTeX, 74pp.

Nucl.Phys.B848:155-215,2011

10.1016/j.nuclphysb.2011.02.012

IF-USP 1652, IPMU10-0070, ITEP-TH-20/10

hep-th

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

We study the properties of the vertex operator for the beta-deformation of the superstring in AdS(5) x S(5) in the pure spinor formalism. We discuss the action of supersymmetry on the infinitesimal beta-deformation, the application of the homological perturbation theory, and the relation between the worldsheet description and the spacetime supergravity description.

[ { "created": "Sat, 1 May 2010 06:29:00 GMT", "version": "v1" } ]

2015-03-17

[ [ "Bedoya", "Oscar A.", "" ], [ "Beviláqua", "L. Ibiapina", "" ], [ "Mikhailov", "Andrei", "" ], [ "Rivelles", "Victor O.", "" ] ]

We study the properties of the vertex operator for the beta-deformation of the superstring in AdS(5) x S(5) in the pure spinor formalism. We discuss the action of supersymmetry on the infinitesimal beta-deformation, the application of the homological perturbation theory, and the relation between the worldsheet description and the spacetime supergravity description.

7.450087

5.753994

9.119217

5.782846

5.580932

6.787707

6.120561

5.844022

5.631922

11.654386

5.754611

5.866536

7.343772

6.211211

6.210818

6.162055

6.373413

6.191535

6.111714

7.62275

6.089648

0911.0148

Hesam Soltanpanahi

Near Horizon of 5D Rotating Black Holes from 2D Perspective

The last version to appear in the European Physical Journal C

Eur. Phys. J. C (2014) 74:2817

10.1140/epjc/s10052-014-2817-3

null

hep-th

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

We study the CFT dual to five dimensional extremal rotating black holes, by investigating the two dimensional perspective of their near horizon geometry. From two dimensional point of view, we show that both gauge fields, related to the two rotations, appear in the same manner in the asymptotic symmetry and in the associated central charge. We find that, our results are in perfect agreement with the generalization of Kerr/CFT approach to five dimensional extremal rotating black holes.

[ { "created": "Sun, 1 Nov 2009 10:35:48 GMT", "version": "v1" }, { "created": "Fri, 9 Apr 2010 05:28:11 GMT", "version": "v2" }, { "created": "Fri, 7 Mar 2014 10:16:49 GMT", "version": "v3" } ]

2014-04-01

[ [ "Soltanpanahi", "Hesam", "" ] ]

We study the CFT dual to five dimensional extremal rotating black holes, by investigating the two dimensional perspective of their near horizon geometry. From two dimensional point of view, we show that both gauge fields, related to the two rotations, appear in the same manner in the asymptotic symmetry and in the associated central charge. We find that, our results are in perfect agreement with the generalization of Kerr/CFT approach to five dimensional extremal rotating black holes.

9.629754

8.860057

10.105371

9.138938

9.162075

8.387204

9.12498

8.720778

9.053228

10.478771

9.347912

9.134368

9.667548

8.9873

9.246354

9.244919

9.078979

8.776939

9.2443

9.621702

8.76368

hep-th/0408245

Sebastian Uhlmann

Sebastian Uhlmann (MIT)

A Note on kappa-Diagonal Surface States

1+18 pages, 6 figures, LaTeX

JHEP 0411:003,2004

10.1088/1126-6708/2004/11/003

null

hep-th

null

We classify all twist-even squeezed states in string field theory which are diagonal in the kappa-basis and simultaneously surface states. For this purpose, we derive a consistency condition for the maps defining kappa-diagonal surface states. It restricts these maps to a two-parameter family of Jacobi sine functions. Not all of them are admissible maps for surface states; standard requirements single out two one-parameter families containing the generalized butterfly states and the wedge states.

[ { "created": "Tue, 31 Aug 2004 19:16:16 GMT", "version": "v1" } ]

2010-02-03

[ [ "Uhlmann", "Sebastian", "", "MIT" ] ]

We classify all twist-even squeezed states in string field theory which are diagonal in the kappa-basis and simultaneously surface states. For this purpose, we derive a consistency condition for the maps defining kappa-diagonal surface states. It restricts these maps to a two-parameter family of Jacobi sine functions. Not all of them are admissible maps for surface states; standard requirements single out two one-parameter families containing the generalized butterfly states and the wedge states.

26.609589

28.810001

28.225819

21.079113

23.793432

20.831238

27.095999

21.106909

25.048668

27.674242

21.459524

23.41888

24.773073

23.761383

24.119959

23.556559

24.048275

23.504374

23.777157

25.0084

24.139502

1110.4728

Anastasia Doikou

Jean Avan, Anastasia Doikou

Liouville integrable defects: the non-linear Schrodinger paradigm

22 pages, Latex. Minor misprints corrected

JHEP 01 (2012) 040

10.1007/JHEP01(2012)040

null

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

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

A systematic approach to Liouville integrable defects is proposed, based on an underlying Poisson algebraic structure. The non-linear Schrodinger model in the presence of a single particle-like defect is investigated through this algebraic approach. Local integrals of motions are constructed as well as the time components of the corresponding Lax pairs. Continuity conditions imposed upon the time components of the Lax pair to all orders give rise to sewing conditions, which turn out to be compatible with the hierarchy of charges in involution. Coincidence of our results with the continuum limit of the discrete expressions obtained in earlier works further confirms our approach.

[ { "created": "Fri, 21 Oct 2011 08:13:34 GMT", "version": "v1" }, { "created": "Fri, 28 Oct 2011 13:24:20 GMT", "version": "v2" }, { "created": "Tue, 10 Jan 2012 12:20:45 GMT", "version": "v3" }, { "created": "Tue, 14 Feb 2012 16:17:56 GMT", "version": "v4" } ]

2012-02-15

[ [ "Avan", "Jean", "" ], [ "Doikou", "Anastasia", "" ] ]

A systematic approach to Liouville integrable defects is proposed, based on an underlying Poisson algebraic structure. The non-linear Schrodinger model in the presence of a single particle-like defect is investigated through this algebraic approach. Local integrals of motions are constructed as well as the time components of the corresponding Lax pairs. Continuity conditions imposed upon the time components of the Lax pair to all orders give rise to sewing conditions, which turn out to be compatible with the hierarchy of charges in involution. Coincidence of our results with the continuum limit of the discrete expressions obtained in earlier works further confirms our approach.

11.040293

10.900352

11.811183

10.200632

10.875461

10.903791

10.313298

10.407974

10.7224

12.714863

10.687098

10.55474

11.81725

10.864529

10.346524

10.191402

10.73704

10.80194

10.662741

11.699924

10.698605

1607.01178

Rohit Mishra

Avirup Ghosh, Rohit Mishra

Generalized geodesic deviation equations and an entanglement first law for rotating BTZ black holes

25 pages, 4 figures, portion containing first law completely revised

Phys. Rev. D 94, 126005 (2016)

10.1103/PhysRevD.94.126005

null

hep-th

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

The change in Holographic entanglement entropy (HEE) for small fluctuations about pure AdS is given by a perturbative expansion of the area functional in terms of the change in the bulk metric and the embedded extremal surface. However it is known that change in the embedding appear at second order or higher. In this paper we show that these changes in the embedding can be systematically calculated in the 2+1 dimensional case by accounting for the deviation of the spacelike geodesics between a spacetime and perturbations over it. Here we consider rotating BTZ as perturbation over $AdS_3$ and study deviations of spacelike geodesics in them. We argue that these deviations arise naturally as solutions of a "generalized geodesic deviation equation". Using this we perturbatively calculate the changes in HEE upto second order, for rotating BTZ. This expression matches with the small system size expansion of the change in HEE obtained by HRT (Hubeny, Rangamani and Takayanagi) proposal for rotating BTZ. We also write an alternative form of entanglement first law for rotating BTZ. To do this one needs to go beyond the leading order in the perturbation series discussed above. That's precisely the reason we consider finding a systematic way to calculate it. To put our result on a firm footing we further show that it is this alternative first law that approaches the thermal first law in the large subsystem size limit.

[ { "created": "Tue, 5 Jul 2016 10:21:05 GMT", "version": "v1" }, { "created": "Thu, 8 Dec 2016 12:38:24 GMT", "version": "v2" } ]

2016-12-09

[ [ "Ghosh", "Avirup", "" ], [ "Mishra", "Rohit", "" ] ]

The change in Holographic entanglement entropy (HEE) for small fluctuations about pure AdS is given by a perturbative expansion of the area functional in terms of the change in the bulk metric and the embedded extremal surface. However it is known that change in the embedding appear at second order or higher. In this paper we show that these changes in the embedding can be systematically calculated in the 2+1 dimensional case by accounting for the deviation of the spacelike geodesics between a spacetime and perturbations over it. Here we consider rotating BTZ as perturbation over $AdS_3$ and study deviations of spacelike geodesics in them. We argue that these deviations arise naturally as solutions of a "generalized geodesic deviation equation". Using this we perturbatively calculate the changes in HEE upto second order, for rotating BTZ. This expression matches with the small system size expansion of the change in HEE obtained by HRT (Hubeny, Rangamani and Takayanagi) proposal for rotating BTZ. We also write an alternative form of entanglement first law for rotating BTZ. To do this one needs to go beyond the leading order in the perturbation series discussed above. That's precisely the reason we consider finding a systematic way to calculate it. To put our result on a firm footing we further show that it is this alternative first law that approaches the thermal first law in the large subsystem size limit.

9.166154

8.886045

10.344736

9.055417

9.258372

9.32482

9.296906

8.981163

8.853251

10.877432

8.713999

9.12133

9.477852

9.175678

9.325428

9.428736

9.428635

8.924909

9.251054

9.422176

8.944956

0909.1389

Raimar Wulkenhaar

Harald Grosse (Vienna) and Raimar Wulkenhaar (M\"unster)

Progress in solving a noncommutative quantum field theory in four dimensions

15 pages, LaTeX with xy-pic

null

hep-th

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

We study the noncommutative \phi^4_4-quantum field theory at the self-duality point. This model is renormalisable to all orders as shown in earlier work of us and does not have a Landau ghost problem. Using the Ward identity of Disertori, Gurau, Magnen and Rivasseau, we obtain from the Schwinger-Dyson equation a non-linear integral equation for the renormalised two-point function alone. The non-trivial renormalised four-point function fulfils a linear integral equation with the inhomogeneity determined by the two-point function. These integral equations are the starting point for a perturbative solution. In this way, the renormalised correlation functions are directly obtained, without Feynman graph computation and further renormalisation steps

[ { "created": "Tue, 8 Sep 2009 18:09:00 GMT", "version": "v1" } ]

2009-09-09

[ [ "Grosse", "Harald", "", "Vienna" ], [ "Wulkenhaar", "Raimar", "", "Münster" ] ]

We study the noncommutative \phi^4_4-quantum field theory at the self-duality point. This model is renormalisable to all orders as shown in earlier work of us and does not have a Landau ghost problem. Using the Ward identity of Disertori, Gurau, Magnen and Rivasseau, we obtain from the Schwinger-Dyson equation a non-linear integral equation for the renormalised two-point function alone. The non-trivial renormalised four-point function fulfils a linear integral equation with the inhomogeneity determined by the two-point function. These integral equations are the starting point for a perturbative solution. In this way, the renormalised correlation functions are directly obtained, without Feynman graph computation and further renormalisation steps

6.823926

7.213778

7.350349

6.58402

7.954629

7.711423

7.38469

7.235849

7.792572

8.45557

7.316513

6.730069

6.963881

6.691711

6.946863

6.887333

6.715788

6.922791

6.593723

7.119713

6.668679

2312.00876

Bin Zhu

Tomasz R. Taylor, Bin Zhu

w(1+infinity) Algebra with a Cosmological Constant and the Celestial Sphere

null

hep-th gr-qc

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

It is shown that in the presence of a nonvanishing cosmological constant, Strominger's infinite-dimensional $\mathrm{w_{1+\infty}}$ algebra of soft graviton symmetries is modified in a simple way. The deformed algebra contains a subalgebra generating $ SO(1,4)$ or $SO(2,3)$ symmetry groups of $\text{dS}_4$ or $\text{AdS}_4$, depending on the sign of the cosmological constant. The transformation properties of soft gauge symmetry currents under the deformed $\mathrm{w_{1+\infty}}$ are also discussed.

[ { "created": "Fri, 1 Dec 2023 19:04:03 GMT", "version": "v1" }, { "created": "Fri, 8 Dec 2023 20:13:04 GMT", "version": "v2" } ]

2023-12-12

[ [ "Taylor", "Tomasz R.", "" ], [ "Zhu", "Bin", "" ] ]

It is shown that in the presence of a nonvanishing cosmological constant, Strominger's infinite-dimensional $\mathrm{w_{1+\infty}}$ algebra of soft graviton symmetries is modified in a simple way. The deformed algebra contains a subalgebra generating $ SO(1,4)$ or $SO(2,3)$ symmetry groups of $\text{dS}_4$ or $\text{AdS}_4$, depending on the sign of the cosmological constant. The transformation properties of soft gauge symmetry currents under the deformed $\mathrm{w_{1+\infty}}$ are also discussed.

5.427942

4.532089

5.620343

4.603429

4.879261

4.911224

4.691208

4.666178

4.679351

5.862791

4.625099

4.698331

5.006999

4.686296

4.6767

4.863432

4.895291

4.721662

4.85482

5.223998

4.728288

hep-th/0301233

Yan-Gang Miao

Yan-Gang Miao and Nobuyoshi Ohta

Parent Actions, Dualities and New Weyl-invariant Actions of Bosonic p-branes

19 pages, 14 figures. The first section is modified slightly, and references are added

JHEP 0304:010,2003

10.1088/1126-6708/2003/04/010

OU-HET 429

hep-th

null

By using the systematic approach of parent action method, we derive one Weyl-noninvariant and two Weyl-invariant actions of bosonic $p$-branes ($p\geq 2$) starting from the Nambu-Goto action, and establish the duality symmetries in this set of four actions. Moreover, we discover a new bosonic $p$-brane action (including the string theory) and deduce two corresponding Weyl-invariant formulations by proposing a new special parent action. We find that the same duality symmetries as those mentioned above exist in this new set of actions. The new $p$-brane actions are also briefly analyzed.

[ { "created": "Wed, 29 Jan 2003 08:47:53 GMT", "version": "v1" }, { "created": "Tue, 25 Mar 2003 06:45:19 GMT", "version": "v2" } ]

2010-02-03

[ [ "Miao", "Yan-Gang", "" ], [ "Ohta", "Nobuyoshi", "" ] ]

By using the systematic approach of parent action method, we derive one Weyl-noninvariant and two Weyl-invariant actions of bosonic $p$-branes ($p\geq 2$) starting from the Nambu-Goto action, and establish the duality symmetries in this set of four actions. Moreover, we discover a new bosonic $p$-brane action (including the string theory) and deduce two corresponding Weyl-invariant formulations by proposing a new special parent action. We find that the same duality symmetries as those mentioned above exist in this new set of actions. The new $p$-brane actions are also briefly analyzed.

10.421683

8.160251

9.686152

7.703008

8.307074

7.808022

7.894219

7.713332

7.587634

10.106714

7.660613

7.739277

8.877772

7.933959

7.961279

7.901526

8.024092

7.984973

7.921338

8.741845

7.820978

1301.0940

Gaston Giribet

Juan Pablo Babaro, Gaston Giribet

On the description of surface operators in N=2* super Yang-Mills

15 pages. v2 typo corrected, comments added. Invited article for MPLA

Mod. Phys. Lett. A28 (2013) 1330003

10.1142/S0217732313300036

null

hep-th math-ph math.MP

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

In Ref. [arXiv:1005.4469], Alday and Tachikawa observed that the Nekrasov partition function of N=2 SU(2) superconformal gauge theories in the presence of fundamental surface operators can be associated to conformal blocks of a 2D CFT with affine sl(2) symmetry. This can be interpreted as the insertion of a fundamental surface operator changing the conformal symmetry from the Virasoro symmetry discovered in [arXiv:0906.3219] to the affine Kac-Moody symmetry. A natural question arises as to how such a 2D CFT description can be extended to the case of non-fundamental surface operators. Motivated by this question, we review the results of Refs. [arXiv:0706.1030] and [arXiv:0803.2099] and put them together to suggest a way to address the problem: It follows from this analysis that the expectation value of a non-fundamental surface operator in the SU(2) N=2* super Yang-Mills theory would be in correspondence with the expectation value of a single vertex operator in a two-dimensional CFT with reduced affine symmetry and whose central charge is parameterized by the integer number that labels the type of singularity of the surface operator.

[ { "created": "Sat, 5 Jan 2013 20:40:19 GMT", "version": "v1" }, { "created": "Tue, 12 Feb 2013 21:31:12 GMT", "version": "v2" } ]

2013-10-22

[ [ "Babaro", "Juan Pablo", "" ], [ "Giribet", "Gaston", "" ] ]

In Ref. [arXiv:1005.4469], Alday and Tachikawa observed that the Nekrasov partition function of N=2 SU(2) superconformal gauge theories in the presence of fundamental surface operators can be associated to conformal blocks of a 2D CFT with affine sl(2) symmetry. This can be interpreted as the insertion of a fundamental surface operator changing the conformal symmetry from the Virasoro symmetry discovered in [arXiv:0906.3219] to the affine Kac-Moody symmetry. A natural question arises as to how such a 2D CFT description can be extended to the case of non-fundamental surface operators. Motivated by this question, we review the results of Refs. [arXiv:0706.1030] and [arXiv:0803.2099] and put them together to suggest a way to address the problem: It follows from this analysis that the expectation value of a non-fundamental surface operator in the SU(2) N=2* super Yang-Mills theory would be in correspondence with the expectation value of a single vertex operator in a two-dimensional CFT with reduced affine symmetry and whose central charge is parameterized by the integer number that labels the type of singularity of the surface operator.

5.834462

5.722579

6.897997

5.554152

5.852018

5.789237

5.561375

5.746977

5.345341

6.744359

5.200795

5.345452

5.788652

5.351473

5.395014

5.49427

5.479224

5.336745

5.410435

6.121592

5.313272

1010.2266

Pavel Krtous

Valeri P. Frolov, Pavel Krtous

Charged particle in higher dimensional weakly charged rotating black hole spacetime

9 pages, no figures

Phys.Rev.D83:024016,2011

10.1103/PhysRevD.83.024016

null

hep-th gr-qc

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

We study charged particle motion in weakly charged higher dimensional black holes. To describe the electromagnetic field we use a test field approximation and use the higher dimensional Kerr-NUT-(A)dS metric as a background geometry. It is shown that for a special configuration of the electromagnetic field the equations of motion of charged particles are completely integrable. The vector potential of such a field is proportional to one of the Killing vectors (called primary Killing vector) from the `Killing tower' of symmetry generating objects which exists in the background geometry. A free constant in the definition of the adopted electromagnetic potential is proportional to the electric charge of the higher dimensional black hole. The full set of independent conserved quantities in involution is found. It is demonstrated, that Hamilton-Jacobi equations are separable, as well as the corresponding Klein-Gordon equation and its symmetry operators.

[ { "created": "Mon, 11 Oct 2010 23:44:01 GMT", "version": "v1" } ]

2011-02-03

[ [ "Frolov", "Valeri P.", "" ], [ "Krtous", "Pavel", "" ] ]

We study charged particle motion in weakly charged higher dimensional black holes. To describe the electromagnetic field we use a test field approximation and use the higher dimensional Kerr-NUT-(A)dS metric as a background geometry. It is shown that for a special configuration of the electromagnetic field the equations of motion of charged particles are completely integrable. The vector potential of such a field is proportional to one of the Killing vectors (called primary Killing vector) from the `Killing tower' of symmetry generating objects which exists in the background geometry. A free constant in the definition of the adopted electromagnetic potential is proportional to the electric charge of the higher dimensional black hole. The full set of independent conserved quantities in involution is found. It is demonstrated, that Hamilton-Jacobi equations are separable, as well as the corresponding Klein-Gordon equation and its symmetry operators.

8.321808

9.574497

8.88297

8.742332

8.532841

9.642988

8.989398

8.219443

8.819384

9.652267

8.245435

8.428288

8.199736

7.977489

7.968442

7.93468

8.227101

7.725759

8.153145

8.169497

7.986481

hep-th/0604153

Rubakov Valery

V.A. Rubakov

Phantom without UV pathology

19 pages. Several misprints corrected, several points clarified, several references added

Theor.Math.Phys.149:1651-1664,2006; Teor.Mat.Fiz.149:409-426,2006

10.1007/s11232-006-0149-7

null

hep-th

null

We present a simple model in which the weak energy condition is violated for spatially homogeneous, slowly evolving fields. The excitations about Lorentz-violating background in Minkowski space do not contain ghosts, tachyons or superluminal modes at spatial momenta ranging from some low scale epsilon to the UV cutoff scale, while tachyons and possibly ghosts do exist at p^2 < epsilon^2. We show that in the absence of other matter, slow roll cosmological regime is possible; in this regime p+rho<0, and yet homogeneity and isotropy are not completely spoiled (at the expence of fine-tuning), since for given conformal momentum, the tachyon mode grows for short enough period of time.

[ { "created": "Fri, 21 Apr 2006 18:24:13 GMT", "version": "v1" }, { "created": "Wed, 17 May 2006 13:19:31 GMT", "version": "v2" } ]

2008-11-26

[ [ "Rubakov", "V. A.", "" ] ]

We present a simple model in which the weak energy condition is violated for spatially homogeneous, slowly evolving fields. The excitations about Lorentz-violating background in Minkowski space do not contain ghosts, tachyons or superluminal modes at spatial momenta ranging from some low scale epsilon to the UV cutoff scale, while tachyons and possibly ghosts do exist at p^2 < epsilon^2. We show that in the absence of other matter, slow roll cosmological regime is possible; in this regime p+rho<0, and yet homogeneity and isotropy are not completely spoiled (at the expence of fine-tuning), since for given conformal momentum, the tachyon mode grows for short enough period of time.

19.310427

18.21879

18.253725

17.036644

21.299631

19.063116

19.098663

17.694149

17.426245

20.344265

18.262644

18.298447

19.888641

18.485308

17.867947

17.682072

17.981964

18.138062

18.531912

19.921623

17.57868

0809.4512

Itzhak Fouxon

Itzhak Fouxon and Yaron Oz

Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations

4 pages

Phys.Rev.Lett.101:261602,2008

10.1103/PhysRevLett.101.261602

null

hep-th cond-mat.other nlin.CD

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

We consider the hydrodynamics of relativistic conformal field theories at finite temperature. We show that the limit of slow motions of the ideal hydrodynamics leads to the non-relativistic incompressible Euler equation. For viscous hydrodynamics we show that the limit of slow motions leads to the non-relativistic incompressible Navier-Stokes equation. We explain the physical reasons for the reduction and discuss the implications. We propose that conformal field theories provide a fundamental microscopic viewpoint of the equations and the dynamics governed by them.

[ { "created": "Thu, 25 Sep 2008 23:33:29 GMT", "version": "v1" }, { "created": "Sun, 28 Sep 2008 12:18:15 GMT", "version": "v2" } ]

2009-01-14

[ [ "Fouxon", "Itzhak", "" ], [ "Oz", "Yaron", "" ] ]

We consider the hydrodynamics of relativistic conformal field theories at finite temperature. We show that the limit of slow motions of the ideal hydrodynamics leads to the non-relativistic incompressible Euler equation. For viscous hydrodynamics we show that the limit of slow motions leads to the non-relativistic incompressible Navier-Stokes equation. We explain the physical reasons for the reduction and discuss the implications. We propose that conformal field theories provide a fundamental microscopic viewpoint of the equations and the dynamics governed by them.

6.696614

6.466135

7.735785

6.342461

6.485469

6.654887

6.1001

6.365743

6.039209

7.40208

6.458433

6.608555

6.869012

6.584658

6.451722

6.653895

6.436734

6.529362

6.680005

6.617259

6.519351

1610.03733

Robert Shrock

Study of the Six-Loop Beta Function of the $\lambda\phi^4_4$ Theory

7 pages latex, 2 figures

Phys. Rev. D 94, 125026 (2016)

10.1103/PhysRevD.94.125026

YITP-SB-2016-41

hep-th

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

We investigate whether the six-loop beta function of the $\lambda \phi^4_4$ theory exhibits evidence for an ultraviolet zero. As part of our analysis, we calculate and analyze Pad\'e approximants to this beta function. Extending our earlier results at the five-loop level, we find that in the range of $\lambda$ where the perturbative calculation of the six-loop beta function is reliable, the theory does not exhibit robust evidence for an ultraviolet zero.

[ { "created": "Wed, 12 Oct 2016 14:50:05 GMT", "version": "v1" } ]

2017-01-04

[ [ "Shrock", "Robert", "" ] ]

We investigate whether the six-loop beta function of the $\lambda \phi^4_4$ theory exhibits evidence for an ultraviolet zero. As part of our analysis, we calculate and analyze Pad\'e approximants to this beta function. Extending our earlier results at the five-loop level, we find that in the range of $\lambda$ where the perturbative calculation of the six-loop beta function is reliable, the theory does not exhibit robust evidence for an ultraviolet zero.

6.856093

5.980541

7.092374

6.129668

5.96548

5.906778

5.771536

5.989896

5.66802

5.711941

5.792923

6.119973

6.311615

6.363422

6.148589

6.300716

6.331923

6.121544

6.281611

6.055715

6.192563

hep-th/0602027

Angel Paredes

Roberto Casero, Carlos Nunez and Angel Paredes

Towards the String Dual of N=1 SQCD-like Theories

70 pages, 5 figures; references added, minor changes

Phys.Rev.D73:086005,2006

10.1103/PhysRevD.73.086005

CPHT-RR 010.0106, SWAT/06/454

hep-th

null

We construct supergravity plus branes solutions, which we argue to be related to 4d N=1 SQCD with a quartic superpotential. The geometries depend on the ratio Nf/Nc which can be kept of order one, present a good singularity at the origin and are weakly curved elsewhere. We support our field theory interpretation by studying a variety of features like R-symmetry breaking, instantons, Seiberg duality, Wilson loops and pair creation, running of couplings and domain walls. In a second part of this paper, we address a different problem: the analysis of the interesting physics of different members of a family of supergravity solutions dual to (unflavored) N=1 SYM plus some UV completion.

[ { "created": "Fri, 3 Feb 2006 17:54:10 GMT", "version": "v1" }, { "created": "Wed, 15 Mar 2006 10:11:22 GMT", "version": "v2" } ]

2010-04-06

[ [ "Casero", "Roberto", "" ], [ "Nunez", "Carlos", "" ], [ "Paredes", "Angel", "" ] ]

We construct supergravity plus branes solutions, which we argue to be related to 4d N=1 SQCD with a quartic superpotential. The geometries depend on the ratio Nf/Nc which can be kept of order one, present a good singularity at the origin and are weakly curved elsewhere. We support our field theory interpretation by studying a variety of features like R-symmetry breaking, instantons, Seiberg duality, Wilson loops and pair creation, running of couplings and domain walls. In a second part of this paper, we address a different problem: the analysis of the interesting physics of different members of a family of supergravity solutions dual to (unflavored) N=1 SYM plus some UV completion.

13.628293

12.671293

15.20105

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12.514311

16.430393

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14.860524

13.630289

12.954079

13.080389

12.700223

13.61196

13.212986

14.776967

13.158179

hep-th/9209054

Sklyanin Evgueni

P. P. Kulish, E. K. Sklyanin

Algebraic Structures Related to Reflection Equations

18 pages

J.Phys.A25:5963-5976,1992

10.1088/0305-4470/25/22/022

YITP/-980

hep-th math.QA nlin.SI solv-int

null

Quadratic algebras related to the reflection equations are introduced. They are quantum group comodule algebras. The quantum group $F_q(GL(2))$ is taken as the example. The properties of the algebras (center, representations, realizations, real forms, fusion procedure etc) as well as the generalizations are discussed.

[ { "created": "Wed, 16 Sep 1992 03:34:32 GMT", "version": "v1" } ]

2014-11-18

[ [ "Kulish", "P. P.", "" ], [ "Sklyanin", "E. K.", "" ] ]

Quadratic algebras related to the reflection equations are introduced. They are quantum group comodule algebras. The quantum group $F_q(GL(2))$ is taken as the example. The properties of the algebras (center, representations, realizations, real forms, fusion procedure etc) as well as the generalizations are discussed.

13.191743

12.684376

14.996801

11.68326

11.385346

11.090751

10.710804

10.647288

10.778591

16.287651

11.542181

11.151783

13.24895

11.684282

11.498068

10.776424

10.859568

11.531218

11.805323

13.31694

10.572247

1406.5155

Yu-tin Huang

Massimo Bianchi, Song He, Yu-tin Huang, Congkao Wen

More on Soft Theorems: Trees, Loops and Strings

40 pages. V2, typos and references corrected

Phys. Rev. D 92, 065022 (2015)

10.1103/PhysRevD.92.065022

null

hep-th

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

We study soft theorems in a broader context, addressing their fate at loop level and their universality in effective field theories and string theory. We argue that for gauge theories in the planar limit, loop-level soft gluon theorems can be made manifest already at the integrand level. In particular, we show that the planar integrand for N=4 SYM satisfies the tree-level soft theorem to all orders in perturbation theory and provide strong evidence to this effect for integrands in N<4 SYM. We consider soft theorems for non-supersymmetric Yang-Mills theories and gravity, and show the validity of integrand soft theorem, while loop corrections to the integrated soft theorems are intimately tied to the presence of conformal anomalies. We then address the question of universality of the soft theorems for various theories. In effective field theories with F^3 and R^3 interactions, the soft theorems are not modified. However for gravity theories with R^2 phi interactions, the sub-sub-leading order soft graviton theorem, which is beyond what is implied by the extended BMS symmetry, requires modifications at tree level for non-supersymmetric theories, and at loop level for N<5 supergravity due to anomalies. Finally, for superstring amplitudes at finite alpha', via explicit calculation for lower-point examples as well as world-sheet OPE analysis for arbitrary multiplicity, we show that the superstring amplitudes satisfy the same soft theorem as its field-theory counterpart. This is no longer true for bosonic closed strings due to the presence of R^2 phi interactions.

[ { "created": "Thu, 19 Jun 2014 19:08:17 GMT", "version": "v1" }, { "created": "Sun, 29 Jun 2014 19:54:16 GMT", "version": "v2" } ]

2015-09-30

[ [ "Bianchi", "Massimo", "" ], [ "He", "Song", "" ], [ "Huang", "Yu-tin", "" ], [ "Wen", "Congkao", "" ] ]

We study soft theorems in a broader context, addressing their fate at loop level and their universality in effective field theories and string theory. We argue that for gauge theories in the planar limit, loop-level soft gluon theorems can be made manifest already at the integrand level. In particular, we show that the planar integrand for N=4 SYM satisfies the tree-level soft theorem to all orders in perturbation theory and provide strong evidence to this effect for integrands in N<4 SYM. We consider soft theorems for non-supersymmetric Yang-Mills theories and gravity, and show the validity of integrand soft theorem, while loop corrections to the integrated soft theorems are intimately tied to the presence of conformal anomalies. We then address the question of universality of the soft theorems for various theories. In effective field theories with F^3 and R^3 interactions, the soft theorems are not modified. However for gravity theories with R^2 phi interactions, the sub-sub-leading order soft graviton theorem, which is beyond what is implied by the extended BMS symmetry, requires modifications at tree level for non-supersymmetric theories, and at loop level for N<5 supergravity due to anomalies. Finally, for superstring amplitudes at finite alpha', via explicit calculation for lower-point examples as well as world-sheet OPE analysis for arbitrary multiplicity, we show that the superstring amplitudes satisfy the same soft theorem as its field-theory counterpart. This is no longer true for bosonic closed strings due to the presence of R^2 phi interactions.

7.401711

7.928984

8.230404

7.364951

7.912663

7.835305

7.753375

7.207281

7.397092

8.687091

7.083066

7.56488

7.417407

7.226276

7.329302

7.413749

7.306441

7.286249

7.209786

7.469815

7.197434

1904.05580

Timofey Snegirev

I. L. Buchbinder, M. V. Khabarov, T. V. Snegirev, Yu. M. Zinoviev

Lagrangian formulation for the infinite spin N=1 supermultiplets in d=4

1+12 pages, no figures

null

10.1016/j.nuclphysb.2019.114717

null

hep-th

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

We provide an explicit Lagrangian construction for the massless infinite spin N=1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin fields with properly adjusted dimensionful parameters. We begin with the gauge invariant Lagrangians for such massless infinite spin bosonic and fermionic fields and derive the supertransformations which leave the sum of their Lagrangians invariant. It is shown that the algebra of these supertransformations is closed on-shell.

[ { "created": "Thu, 11 Apr 2019 08:50:11 GMT", "version": "v1" } ]

2019-09-04

[ [ "Buchbinder", "I. L.", "" ], [ "Khabarov", "M. V.", "" ], [ "Snegirev", "T. V.", "" ], [ "Zinoviev", "Yu. M.", "" ] ]

We provide an explicit Lagrangian construction for the massless infinite spin N=1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin fields with properly adjusted dimensionful parameters. We begin with the gauge invariant Lagrangians for such massless infinite spin bosonic and fermionic fields and derive the supertransformations which leave the sum of their Lagrangians invariant. It is shown that the algebra of these supertransformations is closed on-shell.

6.087445

4.752184

5.931902

5.312721

5.433222

5.128026

4.64466

4.94678

4.959749

6.545358

4.940891

5.385362

6.161112

5.476658

5.210342

5.290765

5.219026

5.378924

5.276757

5.95373

5.431011

1711.09839

Kenta Suzuki

Sumit R. Das, Animik Ghosh, Antal Jevicki, Kenta Suzuki

Three Dimensional View of Arbitrary $q$ SYK models

17 pages, 1 figure

null

10.1007/JHEP02(2018)162

null

hep-th gr-qc

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

In \url{arXiv:1704.07208} it was shown that the spectrum and bilocal propagator of SYK model with four fermion interactions can be realized as a three dimensional model in $AdS_2 \times S^1/Z_2$ with nontrivial boundary conditions in the additional dimension. In this paper we show that a similar picture holds for generalizations of the SYK model with $q$-fermion interactions. The 3D realization is now given on a space whose metric is conformal to $AdS_2 \times S^1/Z_2$ and is subject to a non-trivial potential in addition to a delta function at the center of the interval. It is shown that a Horava-Witten compactification reproduces the exact SYK spectrum and a non-standard propagator between points which lie at the center of the interval exactly agrees with the bilocal propagator. As $q \rightarrow \infty$, the wave function of one of the modes at the center of the interval vanish as $1/q$, while the others vanish as $1/q^2$, in a way consistent with the fact that in the SYK model only one of the modes contributes to the bilocal propagator in this limit.

[ { "created": "Mon, 27 Nov 2017 17:17:52 GMT", "version": "v1" } ]

2018-04-04

[ [ "Das", "Sumit R.", "" ], [ "Ghosh", "Animik", "" ], [ "Jevicki", "Antal", "" ], [ "Suzuki", "Kenta", "" ] ]

In \url{arXiv:1704.07208} it was shown that the spectrum and bilocal propagator of SYK model with four fermion interactions can be realized as a three dimensional model in $AdS_2 \times S^1/Z_2$ with nontrivial boundary conditions in the additional dimension. In this paper we show that a similar picture holds for generalizations of the SYK model with $q$-fermion interactions. The 3D realization is now given on a space whose metric is conformal to $AdS_2 \times S^1/Z_2$ and is subject to a non-trivial potential in addition to a delta function at the center of the interval. It is shown that a Horava-Witten compactification reproduces the exact SYK spectrum and a non-standard propagator between points which lie at the center of the interval exactly agrees with the bilocal propagator. As $q \rightarrow \infty$, the wave function of one of the modes at the center of the interval vanish as $1/q$, while the others vanish as $1/q^2$, in a way consistent with the fact that in the SYK model only one of the modes contributes to the bilocal propagator in this limit.

7.053092

6.909958

7.514501

6.659669

7.086258

7.316075

7.195113

7.101659

6.509077

7.192081

6.755983

6.384843

6.86749

6.535454

6.583598

6.559418

6.520632

6.519063

6.515645

6.849787

6.442266

2211.09181

Keshav Dasgupta

Suddhasattwa Brahma, Keshav Dasgupta, Mir-Mehedi Faruk, Bohdan Kulinich, Viraj Meruliya, Brent Pym, Radu Tatar

Resurgence of a de Sitter Glauber-Sudarshan State: Nodal Diagrams and Borel Resummation

116 pages, 16 pdf figures, comments welcome; v2: Typos corrected, references updated, final version appearing in Fortschritte der Physik

Fortsch. Phys, 2023, 2300136

10.1002/prop.202300136

null

hep-th gr-qc hep-ph

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

We show that an explicit construction of a four-dimensional de Sitter space may be performed using a diagrammatic approach via nodal diagrams emanating from the path integral representation of the Glauber-Sudarshan state. Sum of these diagrams typically leads to an asymptotic series of Gevrey kind which can then be Borel resummed, thus reproducing the non-perturbative structure of the system. Our analysis shows that four-dimensional de Sitter space is not only possible in string theory overcoming the no-go and the swampland criteria -- albeit as a Glauber-Sudarshan state -- but it may also be non-perturbatively stable within a controlled temporal domain. Somewhat consistently, the Borel resummation of the Gevrey series provides strong hint towards the positivity of the cosmological constant.

[ { "created": "Wed, 16 Nov 2022 20:04:51 GMT", "version": "v1" }, { "created": "Wed, 25 Oct 2023 12:52:26 GMT", "version": "v2" } ]

2023-10-26

[ [ "Brahma", "Suddhasattwa", "" ], [ "Dasgupta", "Keshav", "" ], [ "Faruk", "Mir-Mehedi", "" ], [ "Kulinich", "Bohdan", "" ], [ "Meruliya", "Viraj", "" ], [ "Pym", "Brent", "" ], [ "Tatar", "Radu", "" ] ]

We show that an explicit construction of a four-dimensional de Sitter space may be performed using a diagrammatic approach via nodal diagrams emanating from the path integral representation of the Glauber-Sudarshan state. Sum of these diagrams typically leads to an asymptotic series of Gevrey kind which can then be Borel resummed, thus reproducing the non-perturbative structure of the system. Our analysis shows that four-dimensional de Sitter space is not only possible in string theory overcoming the no-go and the swampland criteria -- albeit as a Glauber-Sudarshan state -- but it may also be non-perturbatively stable within a controlled temporal domain. Somewhat consistently, the Borel resummation of the Gevrey series provides strong hint towards the positivity of the cosmological constant.

12.343072

11.434736

12.442757

11.362017

11.255002

11.744537

11.554526

11.173399

11.733807

14.383911

11.198786

11.547802

11.949313

11.6565

11.291143

11.432681

11.371784

11.736288

11.552356

11.910471

11.232952

2309.06469

Valentin Reys

Nikolay Bobev, Junho Hong, Valentin Reys

Holographic Thermal Observables and M2-branes

22 pages; v2: additional comments included, accepted for publication in JHEP

null

hep-th

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

We use holography in conjunction with recent results from supersymmetric localization to compute certain thermal observables for 3d $\mathcal{N}=2$ holographic SCFTs arising on the worldvolume of $N$ M2-branes. We obtain results for the thermal free energy density on $S^1 \times \mathbb{R}^2$, the Casimir energy on $T^{2} \times \mathbb{R}$, and the three leading coefficients in the large temperature limit of the free energy on $S^1\times S^2$ valid to subleading order in the large $N$ limit. As a byproduct of our holographic analysis we also present a conjecture for the structure of the large temperature expansion of the thermal free energy of general 3d CFTs on $S^1\times S^2$.

[ { "created": "Tue, 12 Sep 2023 18:00:01 GMT", "version": "v1" }, { "created": "Mon, 27 Nov 2023 09:46:14 GMT", "version": "v2" } ]

2023-11-28

[ [ "Bobev", "Nikolay", "" ], [ "Hong", "Junho", "" ], [ "Reys", "Valentin", "" ] ]

We use holography in conjunction with recent results from supersymmetric localization to compute certain thermal observables for 3d $\mathcal{N}=2$ holographic SCFTs arising on the worldvolume of $N$ M2-branes. We obtain results for the thermal free energy density on $S^1 \times \mathbb{R}^2$, the Casimir energy on $T^{2} \times \mathbb{R}$, and the three leading coefficients in the large temperature limit of the free energy on $S^1\times S^2$ valid to subleading order in the large $N$ limit. As a byproduct of our holographic analysis we also present a conjecture for the structure of the large temperature expansion of the thermal free energy of general 3d CFTs on $S^1\times S^2$.

4.399663

3.930172

4.967881

3.993773

3.909851

3.808445

3.94148

4.035245

3.995221

4.64212

4.024565

4.000467

4.232997

4.093368

4.084079

4.096564

4.044705

4.073574

4.017078

4.329965

4.084168

2112.09049

James Ingoldby

Joan Elias Miro, James Ingoldby

Hamiltonian Truncation with Larger Dimensions

42 pages, 3 figures. To match published version

null

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

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

Hamiltonian Truncation (HT) is a numerical approach for calculating observables in a Quantum Field Theory non-perturbatively. This approach can be applied to theories constructed by deforming a conformal field theory with a relevant operator of scaling dimension $\Delta$. UV divergences arise when $\Delta$ is larger than half of the spacetime dimension $d$. These divergences can be regulated by HT or by using a more conventional local regulator. In this work we show that extra UV divergences appear when using HT rather than a local regulator for $\Delta \geq d/2+1/4$, revealing a striking breakdown of locality. Our claim is based on the analysis of conformal perturbation theory up to fourth order. As an example we compute the Casimir energy of $d=2$ Minimal Models perturbed by operators whose dimensions take values on either side of the threshold $d/2+1/4$.

[ { "created": "Thu, 16 Dec 2021 17:39:26 GMT", "version": "v1" }, { "created": "Tue, 26 Apr 2022 12:40:33 GMT", "version": "v2" } ]

2022-04-27

[ [ "Miro", "Joan Elias", "" ], [ "Ingoldby", "James", "" ] ]

Hamiltonian Truncation (HT) is a numerical approach for calculating observables in a Quantum Field Theory non-perturbatively. This approach can be applied to theories constructed by deforming a conformal field theory with a relevant operator of scaling dimension $\Delta$. UV divergences arise when $\Delta$ is larger than half of the spacetime dimension $d$. These divergences can be regulated by HT or by using a more conventional local regulator. In this work we show that extra UV divergences appear when using HT rather than a local regulator for $\Delta \geq d/2+1/4$, revealing a striking breakdown of locality. Our claim is based on the analysis of conformal perturbation theory up to fourth order. As an example we compute the Casimir energy of $d=2$ Minimal Models perturbed by operators whose dimensions take values on either side of the threshold $d/2+1/4$.

6.871669

6.933012

7.807175

6.639081

6.951931

6.756691

6.4629

6.612576

6.618498

7.698112

6.58784

6.519811

6.851769

6.457178

6.473906

6.491028

6.379883

6.4609

6.361291

6.955277

6.421557

hep-th/0505130

Alin Tirziu

I.Y. Park, A. Tirziu and A.A. Tseytlin

Semiclassical circular strings in AdS_5 and "long" gauge field strength operators

24 pages, 3 figures, v2: typos corrected; v3: misprint in eq.(2.15) corrected

Phys.Rev.D71:126008,2005

10.1103/PhysRevD.71.126008

null

hep-th

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

We consider circular strings rotating with equal spins S_1=S_2=S in two orthogonal planes in AdS_5 and suggest that they may be dual to "long" gauge theory operators built out of self-dual components of gauge field strength. As was found in hep-th/0404187, the one-loop anomalous dimensions of the such gauge-theory operators are described by an anti-ferromagnetic XXX_1 spin chain and scale linearly with length L>>1. We find that in the case of rigid rotating string both the classical energy E_0 and the 1-loop string correction E_1 depend linearly on the spin S (within the stability region of the solution). This supports the relation between the rigid rotating string and the gauge-theory operator corresponding to the maximal-spin (ferromagnetic) state of the XXX_1 spin chain. The energy of more general rotating and pulsating strings also happens to scale linearly with both the spin and the oscillation number. Such solutions should be dual to other lower-spin states of the spin chain, with the anti-ferromagnetic ground state presumably corresponding to the string pulsating in two planes with no rotation.

[ { "created": "Mon, 16 May 2005 16:36:07 GMT", "version": "v1" }, { "created": "Thu, 10 Nov 2005 17:52:46 GMT", "version": "v2" }, { "created": "Tue, 16 Feb 2010 16:14:26 GMT", "version": "v3" } ]

2010-02-16

[ [ "Park", "I. Y.", "" ], [ "Tirziu", "A.", "" ], [ "Tseytlin", "A. A.", "" ] ]

We consider circular strings rotating with equal spins S_1=S_2=S in two orthogonal planes in AdS_5 and suggest that they may be dual to "long" gauge theory operators built out of self-dual components of gauge field strength. As was found in hep-th/0404187, the one-loop anomalous dimensions of the such gauge-theory operators are described by an anti-ferromagnetic XXX_1 spin chain and scale linearly with length L>>1. We find that in the case of rigid rotating string both the classical energy E_0 and the 1-loop string correction E_1 depend linearly on the spin S (within the stability region of the solution). This supports the relation between the rigid rotating string and the gauge-theory operator corresponding to the maximal-spin (ferromagnetic) state of the XXX_1 spin chain. The energy of more general rotating and pulsating strings also happens to scale linearly with both the spin and the oscillation number. Such solutions should be dual to other lower-spin states of the spin chain, with the anti-ferromagnetic ground state presumably corresponding to the string pulsating in two planes with no rotation.

8.213573

8.221931

9.225286

7.628939

8.529369

7.926281

8.034929

7.279923

7.469248

9.963551

7.619729

7.940535

8.276837

7.55764

8.001429

7.872887

8.109652

7.634249

7.594524

8.032162

7.674973

1611.03498

Hardi Veerm\"ae

Martti Raidal, Hardi Veerm\"ae

On the Quantisation of Complex Higher Derivative Theories and Avoiding the Ostrogradsky Ghost

23 pages, extended discussion and updated references. Accepted for publication in Nucl.Phys.B

null

10.1016/j.nuclphysb.2017.01.024

null

hep-th hep-ph quant-ph

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

Generic higher derivative theories are believed to be fundamentally unphysical because they contain Ostrogradsky ghosts. We show that within complex classical mechanics it is possible to construct higher derivative theories that circumvent the Ostrogradsky theorem and have a real energy spectrum that is bounded from below. The complex theory can be canonically quantised. The resulting quantum theory does not suffer from the kinetic instability and maintains the usual probabilistic interpretation without violating the correspondence principle. As a proof of concept, we construct a class of stable interacting complex higher derivative theories. This consistent and canonical framework allows us to analyse previous attempts to avoid the ghosts that use non-canonical quantisation schemes, such as the Lee-Wick theories, Dirac-Pauli quantisation or PT-symmetric quantum mechanics. The key to understand the would-be ghosts in any kinetically stable higher derivative theory is to accept the complex system behind it.

[ { "created": "Thu, 10 Nov 2016 21:00:02 GMT", "version": "v1" }, { "created": "Tue, 24 Jan 2017 18:20:03 GMT", "version": "v2" } ]

2017-03-08

[ [ "Raidal", "Martti", "" ], [ "Veermäe", "Hardi", "" ] ]

Generic higher derivative theories are believed to be fundamentally unphysical because they contain Ostrogradsky ghosts. We show that within complex classical mechanics it is possible to construct higher derivative theories that circumvent the Ostrogradsky theorem and have a real energy spectrum that is bounded from below. The complex theory can be canonically quantised. The resulting quantum theory does not suffer from the kinetic instability and maintains the usual probabilistic interpretation without violating the correspondence principle. As a proof of concept, we construct a class of stable interacting complex higher derivative theories. This consistent and canonical framework allows us to analyse previous attempts to avoid the ghosts that use non-canonical quantisation schemes, such as the Lee-Wick theories, Dirac-Pauli quantisation or PT-symmetric quantum mechanics. The key to understand the would-be ghosts in any kinetically stable higher derivative theory is to accept the complex system behind it.

12.802329

13.847748

12.796158

12.894783

14.683107

12.139628

13.370308

13.270388

12.409806

14.293642

13.101962

12.620328

11.751204

12.431767

12.414372

12.551986

12.210732

12.538268

12.515934

12.200402

12.8267

hep-th/0512341

Andreas Gustavsson

The non-Abelian tensor multiplet in loop space

11 pages, v2: cleaner presentation, mistakes are corrected (and an erroneous section was removed)

JHEP0601:165,2006

10.1088/1126-6708/2006/01/165

null

hep-th

null

We introduce a non-Abelian tensor multiplet directly in the loop space associated with flat six-dimensional Minkowski space-time, and derive the supersymmetry variations for on-shell ${\cal{N}}=(2,0)$ supersymmetry.

[ { "created": "Fri, 30 Dec 2005 09:27:56 GMT", "version": "v1" }, { "created": "Mon, 7 Apr 2008 08:04:04 GMT", "version": "v2" } ]

2009-11-11

[ [ "Gustavsson", "Andreas", "" ] ]

We introduce a non-Abelian tensor multiplet directly in the loop space associated with flat six-dimensional Minkowski space-time, and derive the supersymmetry variations for on-shell ${\cal{N}}=(2,0)$ supersymmetry.

11.304205

9.115871

13.482889

8.767835

9.65431

8.853682

9.47098

9.047006

8.960491

13.768661

9.325462

9.386465

11.725023

9.154129

10.153543

9.821413

9.841844

9.605668

9.597945

12.599484

9.501035

hep-th/0605116

Ant\^onio Scarpelli

C. R. Pontes, A. P. Baeta Scarpelli, Marcos Sampaio, M. C. Nemes

Implicit regularization beyond one loop order: scalar field theories

14 pages, two columns, 3 figures

null

10.1088/0954-3899/34/10/011

null

hep-th

null

Implicit regularization (IR) has been shown as an useful momentum space tool for perturbative calculations in dimension specific theories, such as chiral gauge, topological and supersymmetric quantum field theoretical models at one loop level. In this paper, we aim at generalizing systematically IR to be applicable beyond one loop order. We use a scalar field theory as an example and pave the way for the extension to quantum field theories which are richer from the symmetry content viewpoint. Particularly, we show that a natural (minimal) renormalization scheme emerges, in which the infinities displayed in terms of integrals in one internal momentum are subtracted, whereas infrared and ultraviolet modes do not mix and therefore leave no room for ambiguities. A systematic cancelation of the infrared divergences at any loop order takes place between the ultraviolet finite and divergent parts of the amplitude for non-exceptional momenta leaving, as a byproduct, a renormalization group scale.

[ { "created": "Thu, 11 May 2006 16:26:44 GMT", "version": "v1" }, { "created": "Thu, 12 Apr 2007 09:20:07 GMT", "version": "v2" } ]

2009-11-11

[ [ "Pontes", "C. R.", "" ], [ "Scarpelli", "A. P. Baeta", "" ], [ "Sampaio", "Marcos", "" ], [ "Nemes", "M. C.", "" ] ]

Implicit regularization (IR) has been shown as an useful momentum space tool for perturbative calculations in dimension specific theories, such as chiral gauge, topological and supersymmetric quantum field theoretical models at one loop level. In this paper, we aim at generalizing systematically IR to be applicable beyond one loop order. We use a scalar field theory as an example and pave the way for the extension to quantum field theories which are richer from the symmetry content viewpoint. Particularly, we show that a natural (minimal) renormalization scheme emerges, in which the infinities displayed in terms of integrals in one internal momentum are subtracted, whereas infrared and ultraviolet modes do not mix and therefore leave no room for ambiguities. A systematic cancelation of the infrared divergences at any loop order takes place between the ultraviolet finite and divergent parts of the amplitude for non-exceptional momenta leaving, as a byproduct, a renormalization group scale.

14.924621

12.665014

13.133416

13.024703

13.257593

13.674479

13.800971

13.467169

12.526481

15.398302

13.146211

12.762856

13.852757

12.883901

13.374329

12.946974

13.020332

13.306232

12.586187

13.920619

14.033882

2304.14650

Debabrata Ghorai

Debabrata Ghorai, Taewon Yuk, Sang-Jin Sin

Fermi arc in $p$-wave holographic superconductors

21 pages, 14 figures, accepted version in JHEP

null

hep-th cond-mat.supr-con gr-qc

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

We have investigated the fermionic spectral function in $p$-wave holographic superconductors. We show that the vector model with minimal coupling reveals a $p$-wave spectral function with Fermi arc. This should be contrasted with the previous investigation where $p$-wave arc was demonstrated in the presence of a tensor field. We study the momentum dependent order parameter, the $\omega$-gap in the real part of the conductivity and the fermion spectral function. In addition, we juxtapose the fermionic spectral gap with the order parameter in the holographic set. We demonstrate the impact of coupling constants, temperature and chemical potential on the spectral function.

[ { "created": "Fri, 28 Apr 2023 06:38:09 GMT", "version": "v1" }, { "created": "Mon, 1 May 2023 09:00:44 GMT", "version": "v2" }, { "created": "Mon, 4 Sep 2023 14:16:44 GMT", "version": "v3" } ]

2023-09-06

[ [ "Ghorai", "Debabrata", "" ], [ "Yuk", "Taewon", "" ], [ "Sin", "Sang-Jin", "" ] ]

We have investigated the fermionic spectral function in $p$-wave holographic superconductors. We show that the vector model with minimal coupling reveals a $p$-wave spectral function with Fermi arc. This should be contrasted with the previous investigation where $p$-wave arc was demonstrated in the presence of a tensor field. We study the momentum dependent order parameter, the $\omega$-gap in the real part of the conductivity and the fermion spectral function. In addition, we juxtapose the fermionic spectral gap with the order parameter in the holographic set. We demonstrate the impact of coupling constants, temperature and chemical potential on the spectral function.

11.661923

10.530389

11.444983

10.045722

10.639049

9.596698

10.136694

9.972816

10.165072

12.652155

9.914314

11.024055

11.265695

10.569267

10.659986

10.666303

10.252656

10.342326

10.598417

11.365758

10.535378

0712.2164

George Siopsis

James Alsup and George Siopsis

Bjorken flow from an AdS Schwarzschild black hole

5 pages in two-column RevTeX; sharpened discussion to appear in PRL

Phys.Rev.Lett.101:031602,2008

10.1103/PhysRevLett.101.031602

UTHET-07-1101

hep-th

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

We consider a large black hole in asymptotically AdS spacetime of arbitrary dimension with a Minkowski boundary. By performing an appropriate slicing as we approach the boundary, we obtain via holographic renormalization a gauge theory fluid obeying Bjorken hydrodynamics in the limit of large longitudinal proper time. The metric we obtain reproduces to leading order the metric recently found as a direct solution of the Einstein equations in five dimensions. Our results are also in agreement with recent exact results in three dimensions.

[ { "created": "Thu, 13 Dec 2007 15:06:59 GMT", "version": "v1" }, { "created": "Sat, 5 Jul 2008 05:48:46 GMT", "version": "v2" } ]

2008-11-26

[ [ "Alsup", "James", "" ], [ "Siopsis", "George", "" ] ]

We consider a large black hole in asymptotically AdS spacetime of arbitrary dimension with a Minkowski boundary. By performing an appropriate slicing as we approach the boundary, we obtain via holographic renormalization a gauge theory fluid obeying Bjorken hydrodynamics in the limit of large longitudinal proper time. The metric we obtain reproduces to leading order the metric recently found as a direct solution of the Einstein equations in five dimensions. Our results are also in agreement with recent exact results in three dimensions.

10.375163

10.583209

10.478631

9.916381

10.064456

10.810074

11.344322

10.272689

10.086222

11.844741

9.621443

10.036916

10.488232

9.882123

10.266386

9.503583

9.981121

9.731787

9.691138

10.510631

9.876428

hep-th/0105108

Andreas Karch

Andreas Karch and Lisa Randall

Localized Gravity in String Theory

4 pages, Revtex, a typo corrected and references added

Phys.Rev.Lett.87:061601,2001

10.1103/PhysRevLett.87.061601

MIT-CTP-3147

hep-th hep-ph

null

We propose a string realization of the AdS4 brane in AdS5 that is known to localize gravity. Our theory is M D5 branes in the near horizon geometry of N D3 branes, where M and N are appropriately tuned.

[ { "created": "Fri, 11 May 2001 18:23:53 GMT", "version": "v1" }, { "created": "Wed, 27 Jun 2001 21:58:17 GMT", "version": "v2" } ]

2008-11-26

[ [ "Karch", "Andreas", "" ], [ "Randall", "Lisa", "" ] ]

We propose a string realization of the AdS4 brane in AdS5 that is known to localize gravity. Our theory is M D5 branes in the near horizon geometry of N D3 branes, where M and N are appropriately tuned.

14.630168

10.510726

18.485432

10.6732

10.069283

10.720886

10.11308

11.245654

10.237397

14.639236

10.47033

11.141246

16.658285

10.906825

10.325908

10.526568

10.841123

11.208734

10.781639

14.995138

10.910579

2309.05268

Augusto Sagnotti Prof.

J. Mourad (APC, U. Paris Cit\'e), A. Sagnotti (Scuola Normale Superiore and INFN, Pisa)

Effective Orientifolds from Broken Supersymmetry

23 pages, LaTeX. Comments added. Final version to appear in the special issue of Journal of Physics A: Mathematical and Theoretical on "Fields, Gravity, Strings and Beyond: In Memory of Stanley Deser''

null

hep-th gr-qc hep-ph

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

We recently proposed a class of type IIB vacua that yield, at low energies, four--dimensional Minkowski spaces with broken supersymmetry and a constant string coupling. They are compactifications with an internal five-torus bearing a five--form flux $\Phi$ and warp factors depending on a single coordinate. The breaking of supersymmetry occurs when the internal space includes a finite interval. A probe-brane analysis revealed a gravitational repulsion and a charge attraction of equal magnitude from the left end of the interval, and a singularity at the other end. Here we complete the analysis revealing the presence, at one end, of an effective $O3$ of negative tension and positive five--form charge. We also determine the values of these quantities, and show that $T = -\, Q = \Phi$, and characterize the singularity present at the other end of the interval, which hosts an opposite charge. Finally, we discuss various forms of the gravity action in the presence of a boundary and identify a self--adjoint form for its fluctuations.

[ { "created": "Mon, 11 Sep 2023 06:56:35 GMT", "version": "v1" }, { "created": "Mon, 18 Dec 2023 21:28:15 GMT", "version": "v2" } ]

2023-12-20

[ [ "Mourad", "J.", "", "APC, U. Paris Cité" ], [ "Sagnotti", "A.", "", "Scuola Normale\n Superiore and INFN, Pisa" ] ]

We recently proposed a class of type IIB vacua that yield, at low energies, four--dimensional Minkowski spaces with broken supersymmetry and a constant string coupling. They are compactifications with an internal five-torus bearing a five--form flux $\Phi$ and warp factors depending on a single coordinate. The breaking of supersymmetry occurs when the internal space includes a finite interval. A probe-brane analysis revealed a gravitational repulsion and a charge attraction of equal magnitude from the left end of the interval, and a singularity at the other end. Here we complete the analysis revealing the presence, at one end, of an effective $O3$ of negative tension and positive five--form charge. We also determine the values of these quantities, and show that $T = -\, Q = \Phi$, and characterize the singularity present at the other end of the interval, which hosts an opposite charge. Finally, we discuss various forms of the gravity action in the presence of a boundary and identify a self--adjoint form for its fluctuations.

14.352296

15.889031

15.892426

13.889046

16.528318

16.048891

15.777622

14.418308

14.420157

18.01935

14.11517

13.840687

14.643799

13.913018

13.719171

14.142666

14.464928

14.160584

13.958603

14.778358

14.062353

hep-th/9111020

null

Michelle Bourdeau, Eli J. Mlawer, Harold Riggs, and Howard J. Schnitzer

Topological Landau-Ginzburg Matter from Sp(N)_{K} Fusion Rings

13 pages

Mod.Phys.Lett. A7 (1992) 689-700

10.1142/S0217732392000665

null

hep-th

null

We find and analyze the Landau-Ginzburg potentials whose critical points determine chiral rings which are exactly the fusion rings of Sp(N)_{K} WZW models. The quasi-homogeneous part of the potential associated with Sp(N)_{K} is the same as the quasi-homogeneous part of that associated with SU(N+1)_{K}, showing that these potentials are different perturbations of the same Grassmannian potential. Twisted N=2 topological Landau-Ginzburg theories are derived from these superpotentials. The correlation functions, which are just the Sp(N)_{K} Verlinde dimensions, are expressed as fusion residues. We note that the Sp(N)_{K} and Sp(K)_{N} topological Landau-Ginzburg theories are identical, and that while the SU(N)_{K} and SU(K)_{N} topological Landau-Ginzburg models are not, they are simply related.

[ { "created": "Fri, 8 Nov 1991 23:30:00 GMT", "version": "v1" } ]

2009-10-22

[ [ "Bourdeau", "Michelle", "" ], [ "Mlawer", "Eli J.", "" ], [ "Riggs", "Harold", "" ], [ "Schnitzer", "Howard J.", "" ] ]

We find and analyze the Landau-Ginzburg potentials whose critical points determine chiral rings which are exactly the fusion rings of Sp(N)_{K} WZW models. The quasi-homogeneous part of the potential associated with Sp(N)_{K} is the same as the quasi-homogeneous part of that associated with SU(N+1)_{K}, showing that these potentials are different perturbations of the same Grassmannian potential. Twisted N=2 topological Landau-Ginzburg theories are derived from these superpotentials. The correlation functions, which are just the Sp(N)_{K} Verlinde dimensions, are expressed as fusion residues. We note that the Sp(N)_{K} and Sp(K)_{N} topological Landau-Ginzburg theories are identical, and that while the SU(N)_{K} and SU(K)_{N} topological Landau-Ginzburg models are not, they are simply related.

6.677617

6.70081

7.885531

6.433581

6.619127

6.533329

6.736029

6.889575

6.31277

7.684977

6.423746

6.438636

6.957992

6.522275

6.579059

6.391151

6.384725

6.469786

6.204596

6.71788

6.286895

hep-th/9301090

Kanehisa Takasaki

Quasi-classical limit of BKP hierarchy and W-infinity symmeties

12 pages, Kyoto University KUCP-0058/93

Lett.Math.Phys. 28 (1993) 177-186

10.1007/BF00745149

null

hep-th

null

Previous results on quasi-classical limit of the KP and Toda hierarchies are now extended to the BKP hierarchy. Basic tools such as the Lax representation, the Baker-Akhiezer function and the tau function are reformulated so as to fit into the analysis of quasi-classical limit. Two subalgebras $\WB_{1+\infty}$ and $\wB_{1+\infty}$ of the W-infinity algebras $W_{1+\infty}$ and $w_{1+\infty}$ are introduced as fundamental Lie algebras of the BKP hierarchy and its quasi-classical limit, the dispersionless BKP hierarchy. The quantum W-infinity algebra $\WB_{1+\infty}$ emerges in symmetries of the BKP hierarchy. In quasi-classical limit, these $\WB_{1+\infty}$ symmetries are shown to be contracted into $\wB_{1+\infty}$ symmetries of the dispersionless BKP hierarchy.

[ { "created": "Fri, 22 Jan 1993 05:43:42 GMT", "version": "v1" }, { "created": "Sat, 23 Jan 1993 03:56:09 GMT", "version": "v2" }, { "created": "Tue, 6 Apr 1993 01:50:19 GMT", "version": "v3" } ]

2009-10-22

[ [ "Takasaki", "Kanehisa", "" ] ]

Previous results on quasi-classical limit of the KP and Toda hierarchies are now extended to the BKP hierarchy. Basic tools such as the Lax representation, the Baker-Akhiezer function and the tau function are reformulated so as to fit into the analysis of quasi-classical limit. Two subalgebras $\WB_{1+\infty}$ and $\wB_{1+\infty}$ of the W-infinity algebras $W_{1+\infty}$ and $w_{1+\infty}$ are introduced as fundamental Lie algebras of the BKP hierarchy and its quasi-classical limit, the dispersionless BKP hierarchy. The quantum W-infinity algebra $\WB_{1+\infty}$ emerges in symmetries of the BKP hierarchy. In quasi-classical limit, these $\WB_{1+\infty}$ symmetries are shown to be contracted into $\wB_{1+\infty}$ symmetries of the dispersionless BKP hierarchy.

4.722004

4.39663

4.913379

4.347066

4.298471

4.729394

4.659006

4.621705

4.249964

4.944541

4.343598

4.255276

4.534965

4.249076

4.316941

4.383367

4.369211

4.398546

4.491595

4.750136

4.407887

hep-th/0412155

James T. Liu

Benjamin A. Burrington, James T. Liu, W. A. Sabra

AdS_5 Black Holes with Fermionic Hair

22 pages, Revtex 4, references added

Phys.Rev. D71 (2005) 105015

10.1103/PhysRevD.71.105015

MCTP-04-70, CAMS/04-04

hep-th

null

The study of new BPS objects in AdS_5 has led to a deeper understanding of AdS/CFT. To help complete this picture, and to fully explore the consequences of the supersymmetry algebra, it is also important to obtain new solutions with bulk fermions turned on. In this paper we construct superpartners of the 1/2 BPS black hole in AdS_5 using a natural set of fermion zero modes. We demonstrate that these superpartners, carrying fermionic hair, have conserved charges differing from the original bosonic counterpart. To do so, we find the R-charge and dipole moment of the new system, as well as the mass and angular momentum, defined through the boundary stress tensor. The complete set of superpartners fits nicely into a chiral representation of AdS_5 supersymmetry, and the spinning solutions have the expected gyromagnetic ratio, g=1.

[ { "created": "Wed, 15 Dec 2004 18:00:04 GMT", "version": "v1" }, { "created": "Tue, 8 Mar 2005 20:57:17 GMT", "version": "v2" } ]

2009-11-10

[ [ "Burrington", "Benjamin A.", "" ], [ "Liu", "James T.", "" ], [ "Sabra", "W. A.", "" ] ]

The study of new BPS objects in AdS_5 has led to a deeper understanding of AdS/CFT. To help complete this picture, and to fully explore the consequences of the supersymmetry algebra, it is also important to obtain new solutions with bulk fermions turned on. In this paper we construct superpartners of the 1/2 BPS black hole in AdS_5 using a natural set of fermion zero modes. We demonstrate that these superpartners, carrying fermionic hair, have conserved charges differing from the original bosonic counterpart. To do so, we find the R-charge and dipole moment of the new system, as well as the mass and angular momentum, defined through the boundary stress tensor. The complete set of superpartners fits nicely into a chiral representation of AdS_5 supersymmetry, and the spinning solutions have the expected gyromagnetic ratio, g=1.

8.041198

8.983907

8.908114

8.375402

8.839803

8.096756

9.21149

8.248838

8.514747

9.49189

8.229187

7.740519

8.07524

7.911642

8.068101

7.832642

8.105711

7.796428

8.106752

8.455331

7.731808

hep-th/0606193

Gianluca Grignani

Davide Astolfi, Valentina Forini, Gianluca Grignani and Gordon W. Semenoff

Finite size corrections and integrability of $\mathcal{N}=2$ SYM and DLCQ strings on a pp-wave

28 pages

JHEP0609:056,2006

10.1088/1126-6708/2006/09/056

null

hep-th

null

We compute the planar finite size corrections to the spectrum of the dilatation operator acting on two-impurity states of a certain limit of conformal $\mathcal{N}=2$ quiver gauge field theory which is a $Z_M$-orbifold of $\mathcal{N}=4$ supersymmetric Yang-Mills theory. We match the result to the string dual, IIB superstrings propagating on a pp-wave background with a periodically identified null coordinate. Up to two loops, we show that the computation of operator dimensions, using an effective Hamiltonian technique derived from renormalized perturbation theory and a twisted Bethe ansatz which is a simple generalization of the Beisert-Dippel-Staudacher~\cite{Beisert:2004hm} long range spin chain, agree with each other and also agree with a computation of the analogous quantity in the string theory. We compute the spectrum at three loop order using the twisted Bethe ansatz and find a disagreement with the string spectrum very similar to the known one in the near BMN limit of $\mathcal{N}=4$ super-Yang-Mills theory. We show that, like in $\mathcal{N}=4$, this disagreement can be resolved by adding a conjectured ``dressing factor'' to the twisted Bethe ansatz. Our results are consistent with integrability of the $\mathcal{N}=2$ theory within the same framework as that of $\mathcal{N}=4$.

[ { "created": "Tue, 20 Jun 2006 15:15:09 GMT", "version": "v1" } ]

2009-11-11

[ [ "Astolfi", "Davide", "" ], [ "Forini", "Valentina", "" ], [ "Grignani", "Gianluca", "" ], [ "Semenoff", "Gordon W.", "" ] ]

We compute the planar finite size corrections to the spectrum of the dilatation operator acting on two-impurity states of a certain limit of conformal $\mathcal{N}=2$ quiver gauge field theory which is a $Z_M$-orbifold of $\mathcal{N}=4$ supersymmetric Yang-Mills theory. We match the result to the string dual, IIB superstrings propagating on a pp-wave background with a periodically identified null coordinate. Up to two loops, we show that the computation of operator dimensions, using an effective Hamiltonian technique derived from renormalized perturbation theory and a twisted Bethe ansatz which is a simple generalization of the Beisert-Dippel-Staudacher~\cite{Beisert:2004hm} long range spin chain, agree with each other and also agree with a computation of the analogous quantity in the string theory. We compute the spectrum at three loop order using the twisted Bethe ansatz and find a disagreement with the string spectrum very similar to the known one in the near BMN limit of $\mathcal{N}=4$ super-Yang-Mills theory. We show that, like in $\mathcal{N}=4$, this disagreement can be resolved by adding a conjectured ``dressing factor'' to the twisted Bethe ansatz. Our results are consistent with integrability of the $\mathcal{N}=2$ theory within the same framework as that of $\mathcal{N}=4$.

5.795717

5.977756

6.972467

5.951143

6.062954

6.122186

6.267839

5.871194

5.79146

6.9184

5.442401

5.697979

6.199856

5.742884

5.779317

5.772431

5.798172

5.686726

5.754672

5.983633

5.618342

2203.12625

Pierre Heidmann

Ibrahima Bah, Pierre Heidmann and Peter Weck

Schwarzschild-like Topological Solitons

38 pages + Appendix, 15 figures; v2: typos corrected

null

10.1007/JHEP08(2022)269

null

hep-th gr-qc hep-ph

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

We construct the first class of topological solitons in gravity that are supported by internal electromagnetic flux with vanishing net charges. The solutions are obtained in a six-dimensional Einstein-Maxwell theory with a three-form flux, and admit an uplift to type IIB supergravity on T$^4$. They are asymptotic to a torus fibration over four-dimensional Minkowski spacetime. An interesting class corresponds to solitons with a BPS particle and its anti-BPS partner held apart by a vacuum bubble. In type IIB, they correspond to bound states of BPS and anti-BPS D1-D5 extremal black holes. These metrics are a particular limit of a larger class of axially symmetric metrics that we construct and that describe smooth horizonless topological solitons. They correspond to bound states of three non-BPS bubbles on a line. An important achievement is that the outer bubbles can carry arbitrary D1-D5 charges that we can tune to vanishing net charges. We discuss their properties and compare them to a four-dimensional Schwarzschild black hole of the same mass. We show that they have a long throat with a large redshift, and that they are ultra-compact with a characteristic size of 1.52 times the Schwarzschild radius.

[ { "created": "Wed, 23 Mar 2022 18:00:00 GMT", "version": "v1" }, { "created": "Thu, 16 Jun 2022 08:43:29 GMT", "version": "v2" } ]

2022-09-14

[ [ "Bah", "Ibrahima", "" ], [ "Heidmann", "Pierre", "" ], [ "Weck", "Peter", "" ] ]

We construct the first class of topological solitons in gravity that are supported by internal electromagnetic flux with vanishing net charges. The solutions are obtained in a six-dimensional Einstein-Maxwell theory with a three-form flux, and admit an uplift to type IIB supergravity on T$^4$. They are asymptotic to a torus fibration over four-dimensional Minkowski spacetime. An interesting class corresponds to solitons with a BPS particle and its anti-BPS partner held apart by a vacuum bubble. In type IIB, they correspond to bound states of BPS and anti-BPS D1-D5 extremal black holes. These metrics are a particular limit of a larger class of axially symmetric metrics that we construct and that describe smooth horizonless topological solitons. They correspond to bound states of three non-BPS bubbles on a line. An important achievement is that the outer bubbles can carry arbitrary D1-D5 charges that we can tune to vanishing net charges. We discuss their properties and compare them to a four-dimensional Schwarzschild black hole of the same mass. We show that they have a long throat with a large redshift, and that they are ultra-compact with a characteristic size of 1.52 times the Schwarzschild radius.

9.864212

9.544112

11.024093

9.014761

8.994095

9.916967

10.019126

9.495967

9.275767

11.517356

9.298354

9.713203

9.996425

9.436771

9.733441

9.668316

9.57676

9.895068

9.7804

9.913681

9.450974

1304.4138

Alex Bernardini Dr.

Alex E. Bernardini and O. Bertolami

Equivalence between Born-Infeld tachyon and effective real scalar field theories for brane structures in warped geometry

15 pages, 3 figures

Phys. Lett. B 726 (2013) 512

10.1016/j.physletb.2013.08.064

null

hep-th gr-qc hep-ph

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

An equivalence between Born-Infeld and effective real scalar field theories for brane structures is built in some specific warped space-time scenarios. Once the equations of motion for tachyon fields related to the Born-Infeld action are written as first-order equations, a simple analytical connection with a particular class of real scalar field superpotentials can be found. This equivalence leads to the conclusion that, for a certain class of superpotentials, both systems can support identical thick brane solutions as well as brane structures described through localized energy densities, $T_{00}(y)$, in the $5^{th}$ dimension, $y$. Our results indicate that thick brane solutions realized by the Born-Infeld cosmology can be connected to real scalar field brane scenarios which can be used to effectively map the tachyon condensation mechanism.

[ { "created": "Mon, 15 Apr 2013 15:46:59 GMT", "version": "v1" }, { "created": "Fri, 5 Jul 2013 11:10:54 GMT", "version": "v2" }, { "created": "Fri, 23 Aug 2013 16:38:19 GMT", "version": "v3" } ]

2015-08-04

[ [ "Bernardini", "Alex E.", "" ], [ "Bertolami", "O.", "" ] ]

An equivalence between Born-Infeld and effective real scalar field theories for brane structures is built in some specific warped space-time scenarios. Once the equations of motion for tachyon fields related to the Born-Infeld action are written as first-order equations, a simple analytical connection with a particular class of real scalar field superpotentials can be found. This equivalence leads to the conclusion that, for a certain class of superpotentials, both systems can support identical thick brane solutions as well as brane structures described through localized energy densities, $T_{00}(y)$, in the $5^{th}$ dimension, $y$. Our results indicate that thick brane solutions realized by the Born-Infeld cosmology can be connected to real scalar field brane scenarios which can be used to effectively map the tachyon condensation mechanism.

10.924049

10.962598

11.71209

11.194367

11.142778

11.506152

11.641061

11.371512

11.028674

12.199591

10.702302

10.758434

10.689992

10.777119

10.687265

10.787543

11.117812

10.934709

10.904525

10.894527

10.510646

0812.3488

Catarina Bastos

C. Bastos, O. Bertolami, N. Dias and J. Prata

Noncommutative Quantum Cosmology

Proceedings of DICE2008, Castiglioncello, 22nd-26th September 2008, Italy

J.Phys.Conf.Ser.174:012053,2009

10.1088/1742-6596/174/1/012053

null

hep-th

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

One presents a phase-space noncommutative extension of Quantum Cosmology in the context of a Kantowski-Sachs (KS) minisuperspace model. We obtain the Wheeler-DeWitt (WDW) equation for the noncommutative system through the ADM formalism and a suitable Seiberg-Witten map. The resulting WDW equation explicitly depends on the phase-space noncommutative parameters, $\theta$ and $\eta$. Numerical solutions of the noncommutative WDW equation are found and, interestingly, also bounds on the values of the noncommutative parameters. Moreover, we conclude that the noncommutativity in the momenta sector leads to a damped wave function implying that this type of noncommutativity can be relevant for a selection of possible initial states for the universe.

[ { "created": "Thu, 18 Dec 2008 09:21:53 GMT", "version": "v1" } ]

2009-07-24

[ [ "Bastos", "C.", "" ], [ "Bertolami", "O.", "" ], [ "Dias", "N.", "" ], [ "Prata", "J.", "" ] ]

One presents a phase-space noncommutative extension of Quantum Cosmology in the context of a Kantowski-Sachs (KS) minisuperspace model. We obtain the Wheeler-DeWitt (WDW) equation for the noncommutative system through the ADM formalism and a suitable Seiberg-Witten map. The resulting WDW equation explicitly depends on the phase-space noncommutative parameters, $\theta$ and $\eta$. Numerical solutions of the noncommutative WDW equation are found and, interestingly, also bounds on the values of the noncommutative parameters. Moreover, we conclude that the noncommutativity in the momenta sector leads to a damped wave function implying that this type of noncommutativity can be relevant for a selection of possible initial states for the universe.

5.966401

4.825873

5.460336

4.866959

5.413078

5.676927

5.277034

4.80265

5.303976

5.944224

5.455927

5.413442

5.552969

5.378367

5.429699

5.496684

5.591589

5.410732

5.765485

5.632712

5.696831

2009.03785

Ines Cavero-Pelaez

Ines Cavero-Pelaez, Jose M. Munoz-Castaneda and Cesar Romaniega

Casimir Energy for concentric $\delta$-$\delta'$ spheres

9 pages, 8 figures We are submitting this manuscript for publication in Physical Review D

Phys. Rev. D 103, 045005 (2021)

10.1103/PhysRevD.103.045005

null

hep-th cond-mat.mes-hall

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

We study the vacuum interaction of a scalar field and two concentric spheres defined by a singular potential on their surfaces. The potential is a linear combination of the Dirac-$\delta$ and its derivative. The presence of the delta prime term in the potential causes that it behaves differently when it is seen from the inside or from the outside of the sphere. We study different cases for positive and negative values of the delta prime coupling, keeping positive the coupling of the delta. As a consequence, we find regions in the space of couplings, where the energy is positive, negative or zero. Moreover, the sign of the $\delta'$ couplings cause different behavior on the value of the Casimir energy for different values of the radii. This potential gives rise to general boundary conditions with limiting cases defining Dirichlet and Robin boundary conditions what allows us to simulate purely electric o purely magnetic spheres.

[ { "created": "Tue, 8 Sep 2020 14:26:16 GMT", "version": "v1" }, { "created": "Fri, 15 Jan 2021 07:24:41 GMT", "version": "v2" } ]

2021-02-10

[ [ "Cavero-Pelaez", "Ines", "" ], [ "Munoz-Castaneda", "Jose M.", "" ], [ "Romaniega", "Cesar", "" ] ]

We study the vacuum interaction of a scalar field and two concentric spheres defined by a singular potential on their surfaces. The potential is a linear combination of the Dirac-$\delta$ and its derivative. The presence of the delta prime term in the potential causes that it behaves differently when it is seen from the inside or from the outside of the sphere. We study different cases for positive and negative values of the delta prime coupling, keeping positive the coupling of the delta. As a consequence, we find regions in the space of couplings, where the energy is positive, negative or zero. Moreover, the sign of the $\delta'$ couplings cause different behavior on the value of the Casimir energy for different values of the radii. This potential gives rise to general boundary conditions with limiting cases defining Dirichlet and Robin boundary conditions what allows us to simulate purely electric o purely magnetic spheres.

10.413479

11.833512

10.76818

9.920503

11.208953

11.794677

10.46025

10.371585

10.517189

11.088979

9.467525

10.157804

10.876141

10.145679

9.845108

9.932486

10.149155

9.833057

9.953199

10.277747

9.776552

1807.06940

Takahiro Terada

Yohei Ema, Ryuichiro Kitano, Takahiro Terada

Unitarity constraint on the K\"ahler curvature

20 pages, 2 figures; published version, minor changes, references added

J. High Energ. Phys. (2018) 2018: 75

10.1007/JHEP09(2018)075

KEK-TH-2065, KEK-Cosmo-226

hep-th hep-ph

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

In supersymmetric theories, the signs of quartic terms in the K\"ahler potential control the stability of non-supersymmetric field configurations. In particular, in supersymmetric inflation models, the signs are important for the stability of an inflationary trajectory as well as for the prediction of the spectral index. In this paper, we clarify what properties of a UV theory determine the sign from unitarity arguments of scattering amplitudes. As non-trivial examples, we discuss the sign of a four-meson term in large $N$ supersymmetric gauge theories and also those of the quartic terms obtained in the intersecting D-brane models in superstring theory. The UV origins of inflationary models and supersymmetry breaking models are constrained by this discussion.

[ { "created": "Wed, 18 Jul 2018 13:58:47 GMT", "version": "v1" }, { "created": "Wed, 19 Sep 2018 03:17:18 GMT", "version": "v2" } ]

2018-09-20

[ [ "Ema", "Yohei", "" ], [ "Kitano", "Ryuichiro", "" ], [ "Terada", "Takahiro", "" ] ]

In supersymmetric theories, the signs of quartic terms in the K\"ahler potential control the stability of non-supersymmetric field configurations. In particular, in supersymmetric inflation models, the signs are important for the stability of an inflationary trajectory as well as for the prediction of the spectral index. In this paper, we clarify what properties of a UV theory determine the sign from unitarity arguments of scattering amplitudes. As non-trivial examples, we discuss the sign of a four-meson term in large $N$ supersymmetric gauge theories and also those of the quartic terms obtained in the intersecting D-brane models in superstring theory. The UV origins of inflationary models and supersymmetry breaking models are constrained by this discussion.

8.657354

9.016035

9.158434

8.154385

8.682098

8.560137

8.851415

8.040583

8.424994

9.291746

8.227983

7.917665

8.567365

7.998648

8.008078

8.011302

7.762926

7.740589

8.123825

8.517829

8.1938

hep-th/9706166

Ramon Cova

R. J. Cova (Universidad del Zulia, University of Durham) and W. J. Zakrzewski (University of Durham)

Soliton scattering in the O(3) model on a torus

23 pages including 8 pages of figures, latex. To appear in Nonlinearity

Nonlinearity10:1305-1317,1997

10.1088/0951-7715/10/5/015

DTP 96-59

hep-th

null

Using numerical simulations, the stability and scattering properties of the O(3) model on a two-dimensional torus are studied. Its solitons are found to be unstable but can be stabilized by the addition of a Skyrme term to the Lagrangian. Scattering at right angles with respect to the initial direction of motion is observed in all cases considered. The model has no solutions of degree one, so when a field configuration that resembles a soliton is considered, it shrinks to become infinitely thin. A comparison of these results with those of the model defined on the sphere is made.

[ { "created": "Tue, 24 Jun 1997 10:03:22 GMT", "version": "v1" } ]

2008-11-26

[ [ "Cova", "R. J.", "", "Universidad del Zulia, University of Durham" ], [ "Zakrzewski", "W. J.", "", "University of Durham" ] ]

Using numerical simulations, the stability and scattering properties of the O(3) model on a two-dimensional torus are studied. Its solitons are found to be unstable but can be stabilized by the addition of a Skyrme term to the Lagrangian. Scattering at right angles with respect to the initial direction of motion is observed in all cases considered. The model has no solutions of degree one, so when a field configuration that resembles a soliton is considered, it shrinks to become infinitely thin. A comparison of these results with those of the model defined on the sphere is made.

9.736126

9.827849

9.836028

9.558069

9.706661

9.653403

9.421415

8.998424

8.802535

11.179768

8.816319

9.544048

9.465506

9.545521

9.192953

9.528209

9.61053

9.250127

9.435678

10.090828

9.083369

1909.03279

Gordon Semenoff

Gianluca Grignani, Gordon W. Semenoff

Defect QED: Dielectric without a Dielectric, Monopole without a Monopole

25 pages, 1 figure, clarified eq (8.8)

null

10.1007/JHEP11(2019)114

null

hep-th cond-mat.mes-hall cond-mat.str-el

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

We study a class of defect quantum field theories where the quantum field theory in the 3+1-dimensional bulk is a free photon and charged matter and the interactions of the photons with the charges occur entirely on a 2+1-dimensional defect. We observe that at the fully quantum level, the effective action of such a theory is still a defect field theory with free photons propagating in the bulk and the nonlinearities in the quantum corrections to the Maxwell equations confined to the defect. We use this observation to show that the defect field theory has interesting electromagnetic properties. The electromagnetic fields sourced by static test charges are attenuated as if the bulk surrounding them were filled with a dielectric material. This is particularly interesting when the observer and test charge are on opposite sides of the defect. Then the effect is isotropic and it is operative even in the region near the defect. If the defect is in a time reversal violating state, image charges have the appearance of electrically and magnetically charged dyons. We present the example of a single layer in a quantum Hall state. We observe that the charge screening effect in charge neutral graphene should be significant, and even more dramatic when the layer is in a metallic state with mobile electrons.

[ { "created": "Sat, 7 Sep 2019 14:47:18 GMT", "version": "v1" }, { "created": "Tue, 5 Nov 2019 02:18:22 GMT", "version": "v2" } ]

2020-01-08

[ [ "Grignani", "Gianluca", "" ], [ "Semenoff", "Gordon W.", "" ] ]

We study a class of defect quantum field theories where the quantum field theory in the 3+1-dimensional bulk is a free photon and charged matter and the interactions of the photons with the charges occur entirely on a 2+1-dimensional defect. We observe that at the fully quantum level, the effective action of such a theory is still a defect field theory with free photons propagating in the bulk and the nonlinearities in the quantum corrections to the Maxwell equations confined to the defect. We use this observation to show that the defect field theory has interesting electromagnetic properties. The electromagnetic fields sourced by static test charges are attenuated as if the bulk surrounding them were filled with a dielectric material. This is particularly interesting when the observer and test charge are on opposite sides of the defect. Then the effect is isotropic and it is operative even in the region near the defect. If the defect is in a time reversal violating state, image charges have the appearance of electrically and magnetically charged dyons. We present the example of a single layer in a quantum Hall state. We observe that the charge screening effect in charge neutral graphene should be significant, and even more dramatic when the layer is in a metallic state with mobile electrons.

12.490523

13.388343

13.167042

13.646313

13.804021

12.79126

13.965077

13.349951

12.777822

15.170312

12.385429

12.340676

12.672918

12.669837

12.858624

12.25882

12.741036

12.12151

12.185969

12.595349

12.22489