A Note on the Double Dual Graviton - Relation Between Standard and Exotic Duals of Differential Forms to Cite This Article: Marc Henneaux Et Al 2020 J
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Arxiv:2004.05668V2 [Hep-Th] 9 Jun 2020
A note on electric-magnetic duality and soft charges Marc Henneaux,a;b;1 Cédric Troessaertc aUniversité Libre de Bruxelles and International Solvay Institutes, Physique Mathématique des Interactions Fondamentales, Campus Plaine—CP 231, Bruxelles B-1050, Belgium bCollège de France, 11 place Marcelin Berthelot, 75005 Paris, France cHaute-Ecole Robert Schuman, Rue Fontaine aux Mûres, 13b, B-6800, Belgium E-mail: [email protected], [email protected] Abstract: We derive the asymptotic symmetries of the manifestly duality invariant for- mulation of electromagnetism in Minkoswki space. We show that the action is invariant under two algebras of angle-dependent u(1) transformations, one electric and the other magnetic. As in the standard electric formulation, Lorentz invariance requires the addition of additional boundary degrees of freedom at infinity, found here to be of both electric and magnetic types. A notable feature of this duality symmetric formulation, which we comment upon, is that the on-shell values of the zero modes of the gauge generators are equal to only half of the electric and magnetic fluxes (the other half is brought in by Dirac- string type contributions). Another notable feature is the absence of central extension in the angle-dependent u(1)2-algebra. arXiv:2004.05668v2 [hep-th] 9 Jun 2020 1ORCID: 0000-0002-3558-9025 Contents 1 Introduction 1 2 Starting point 3 2.1 Action and presymplectic form 3 2.2 Hamiltonian vector fields 4 2.3 Boundary conditions 4 2.4 Improper gauge symmetries 5 2.5 Equations of motion 7 3 Poincaré -
Report of the Supersymmetry Theory Subgroup
Report of the Supersymmetry Theory Subgroup J. Amundson (Wisconsin), G. Anderson (FNAL), H. Baer (FSU), J. Bagger (Johns Hopkins), R.M. Barnett (LBNL), C.H. Chen (UC Davis), G. Cleaver (OSU), B. Dobrescu (BU), M. Drees (Wisconsin), J.F. Gunion (UC Davis), G.L. Kane (Michigan), B. Kayser (NSF), C. Kolda (IAS), J. Lykken (FNAL), S.P. Martin (Michigan), T. Moroi (LBNL), S. Mrenna (Argonne), M. Nojiri (KEK), D. Pierce (SLAC), X. Tata (Hawaii), S. Thomas (SLAC), J.D. Wells (SLAC), B. Wright (North Carolina), Y. Yamada (Wisconsin) ABSTRACT Spacetime supersymmetry appears to be a fundamental in- gredient of superstring theory. We provide a mini-guide to some of the possible manifesta- tions of weak-scale supersymmetry. For each of six scenarios These motivations say nothing about the scale at which nature we provide might be supersymmetric. Indeed, there are additional motiva- tions for weak-scale supersymmetry. a brief description of the theoretical underpinnings, Incorporation of supersymmetry into the SM leads to a so- the adjustable parameters, lution of the gauge hierarchy problem. Namely, quadratic divergences in loop corrections to the Higgs boson mass a qualitative description of the associated phenomenology at future colliders, will cancel between fermionic and bosonic loops. This mechanism works only if the superpartner particle masses comments on how to simulate each scenario with existing are roughly of order or less than the weak scale. event generators. There exists an experimental hint: the three gauge cou- plings can unify at the Grand Uni®cation scale if there ex- I. INTRODUCTION ist weak-scale supersymmetric particles, with a desert be- The Standard Model (SM) is a theory of spin- 1 matter tween the weak scale and the GUT scale. -
Off-Shell Interactions for Closed-String Tachyons
Preprint typeset in JHEP style - PAPER VERSION hep-th/0403238 KIAS-P04017 SLAC-PUB-10384 SU-ITP-04-11 TIFR-04-04 Off-Shell Interactions for Closed-String Tachyons Atish Dabholkarb,c,d, Ashik Iqubald and Joris Raeymaekersa aSchool of Physics, Korea Institute for Advanced Study, 207-43, Cheongryangri-Dong, Dongdaemun-Gu, Seoul 130-722, Korea bStanford Linear Accelerator Center, Stanford University, Stanford, CA 94025, USA cInstitute for Theoretical Physics, Department of Physics, Stanford University, Stanford, CA 94305, USA dDepartment of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India E-mail:[email protected], [email protected], [email protected] Abstract: Off-shell interactions for localized closed-string tachyons in C/ZN super- string backgrounds are analyzed and a conjecture for the effective height of the tachyon potential is elaborated. At large N, some of the relevant tachyons are nearly massless and their interactions can be deduced from the S-matrix. The cubic interactions be- tween these tachyons and the massless fields are computed in a closed form using orbifold CFT techniques. The cubic interaction between nearly-massless tachyons with different charges is shown to vanish and thus condensation of one tachyon does not source the others. It is shown that to leading order in N, the quartic contact in- teraction vanishes and the massless exchanges completely account for the four point scattering amplitude. This indicates that it is necessary to go beyond quartic inter- actions or to include other fields to test the conjecture for the height of the tachyon potential. Keywords: closed-string tachyons, orbifolds. -
UV Behavior of Half-Maximal Supergravity Theories
UV behavior of half-maximal supergravity theories. Piotr Tourkine, Quantum Gravity in Paris 2013, LPT Orsay In collaboration with Pierre Vanhove, based on 1202.3692, 1208.1255 Understand the pertubative structure of supergravity theories. ● Supergravities are theories of gravity with local supersymmetry. ● Those theories naturally arise in the low energy limit of superstring theory. ● String theory is then a UV completion for those and thus provides a good framework to study their UV behavior. → Maximal and half-maximal supergravities. Maximal supergravity ● Maximally extended supergravity: – Low energy limit of type IIA/B theory, – 32 real supercharges, unique (ungauged) – N=8 in d=4 ● Long standing problem to determine if maximal supergravity can be a consistent theory of quantum gravity in d=4. ● Current consensus on the subject : it is not UV finite, the first divergence could occur at the 7-loop order. ● Impressive progresses made during last 5 years in the field of scattering amplitudes computations. [Bern, Carrasco, Dixon, Dunbar, Johansson, Kosower, Perelstein, Rozowsky etc.] Half-maximal supergravity ● Half-maximal supergravity: – Heterotic string, but also type II strings on orbifolds – 16 real supercharges, – N=4 in d=4 ● Richer structure, and still a lot of SUSY so explicit computations are still possible. ● There are UV divergences in d=4, [Fischler 1979] at one loop for external matter states ● UV divergence in gravity amplitudes ? As we will see the divergence is expected to arise at the four loop order. String models that give half-maximal supergravity “(4,0)” susy “(0,4)” susy ● Type IIA/B string = Superstring ⊗ Superstring Torus compactification : preserves full (4,4) supersymmetry. -
Non-Critical String Theory Formulation of Microtubule Dynamics And
ACT-09/95 CERN-TH.127/95 CTP-TAMU-24/95 ENSLAPP-A|-/95 hep-ph/9505401 Non-Critical String Theory Formulation of Microtubule Dynamics and Quantum Asp ects of Brain Function a; b;c N.E. Mavromatos and D.V. Nanop oulos a Lab oratoire de Physique Theorique ENSLAPP (URA 14-36 du CNRS, asso ciee a l' E.N.S de Lyon, et au LAPP (IN2P3-CNRS) d'Annecy-le-Vieux), Chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux Cedex, France. b Texas A & M University, College Station, TX 77843-424 2, USA and Astroparticle Physics Group, Houston Advanced Research Center (HARC), The Mitchell Campus, Wo o dlands, TX 77381, USA. c CERN, Theory Division, Geneva 23 Switzerland Abstract Microtubule (MT) networks, subneural paracrystalline cytosceletal structures, seem to play a fundamental role in the neurons. We cast here the complicated MT dynamics in processed by the SLAC/DESY Libraries on 30 May 1995. 〉 the form of a 1 + 1-dimensional non-critical string theory,thus enabling us to provide a consistent quantum treatment of MTs, including enviromental friction e ects. We suggest, thus, that the MTs are the microsites, in the brain, for the emergence of stable, macroscopic PostScript quantum coherent states, identi able with the preconscious states. Quantum space-time e ects, as describ ed by non-critical string theory, trigger then an organizedcol lapse of the coherent states down to a sp eci c or conscious state. The whole pro cess we estimate to take O (1 sec), in excellent agreement with a plethora of exp erimental/observational ndings. -
Asymptotic Structure of Electromagnetism and Gravity in The
Asymptotic structure of elec- tromagnetism and gravity in the asymptotically flat case Marc Henneaux Introduction Asymptotic structure of electromagnetism and The problem in a nutshell - Electromagnetism gravity in the asymptotically flat case New boundary conditions Gravity Conclusions and Marc Henneaux comments Geometry and Duality Workshop, AEI, Potsdam - 6 December 2019 1 / 33 Asymptotic symmetries play a central role in holographic duality. This is familiar from the AdS/CFT context, where the asymptotic symmetry group (which is infinite-dimensional in the case of AdS3 gravity) is the group of rigid symmetries of the dual boundary theory. What is the situation in the asymptotically flat context ? This will be the subject of this talk. Introduction Asymptotic structure of elec- tromagnetism and gravity in the asymptotically flat case Marc Henneaux Introduction The problem in a nutshell - Electromagnetism New boundary conditions Gravity Conclusions and comments 2 / 33 This is familiar from the AdS/CFT context, where the asymptotic symmetry group (which is infinite-dimensional in the case of AdS3 gravity) is the group of rigid symmetries of the dual boundary theory. What is the situation in the asymptotically flat context ? This will be the subject of this talk. Introduction Asymptotic structure of elec- tromagnetism and gravity in the asymptotically flat case Marc Henneaux Introduction Asymptotic symmetries play a central role in holographic duality. The problem in a nutshell - Electromagnetism New boundary conditions Gravity Conclusions and comments 2 / 33 What is the situation in the asymptotically flat context ? This will be the subject of this talk. Introduction Asymptotic structure of elec- tromagnetism and gravity in the asymptotically flat case Marc Henneaux Introduction Asymptotic symmetries play a central role in holographic duality. -
Hypersymmetric Black Holes in 2+1 Gravity
Hypersymmetric black holes in 2+1 gravity Marc Henneaux Introduction Three- dimensional pure gravity with ¤ 0 Ç Hypergravity Hypersymmetric black holes in 2+1 gravity Charges and asymptotic analysis Hypersymmetry Marc Henneaux bounds Black holes Conclusions ETH, November 2015 1 / 28 Supersymmetry is well known to have deep consequences. In the context of higher spin gauge theories, supersymmetry is generalized to include fermionic symmetries described by parameters of spin 3/2, 5/2 etc Do these symmetries also have interesting implications ? In particular, do they imply “hypersymmetry" bounds ? The answer turns out to be affirmative, as can be seen for instance by analysing anti-de Sitter hypergravity in 2 1 Å dimensions. Based on joint work with A. Pérez, D. Tempo, R. Troncoso (2015) Introduction Hypersymmetric black holes in 2+1 gravity Marc Henneaux Introduction Three- dimensional pure gravity with ¤ 0 Ç Hypergravity Charges and asymptotic analysis Hypersymmetry bounds Black holes Conclusions 2 / 28 In the context of higher spin gauge theories, supersymmetry is generalized to include fermionic symmetries described by parameters of spin 3/2, 5/2 etc Do these symmetries also have interesting implications ? In particular, do they imply “hypersymmetry" bounds ? The answer turns out to be affirmative, as can be seen for instance by analysing anti-de Sitter hypergravity in 2 1 Å dimensions. Based on joint work with A. Pérez, D. Tempo, R. Troncoso (2015) Introduction Hypersymmetric black holes in 2+1 gravity Marc Henneaux Introduction Supersymmetry is well known to have deep consequences. Three- dimensional pure gravity with ¤ 0 Ç Hypergravity Charges and asymptotic analysis Hypersymmetry bounds Black holes Conclusions 2 / 28 Do these symmetries also have interesting implications ? In particular, do they imply “hypersymmetry" bounds ? The answer turns out to be affirmative, as can be seen for instance by analysing anti-de Sitter hypergravity in 2 1 Å dimensions. -
Photon-Graviton Amplitudes N
Photon-graviton amplitudes N. Ahmadiniaz, F. Bastianelli, O. Corradini, José M. Dávila, and C. Schubert Citation: AIP Conference Proceedings 1548, 221 (2013); doi: 10.1063/1.4817048 View online: http://dx.doi.org/10.1063/1.4817048 View Table of Contents: http://scitation.aip.org/content/aip/proceeding/aipcp/1548?ver=pdfcov Published by the AIP Publishing This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP: 128.148.231.12 On: Mon, 03 Feb 2014 23:34:26 Photon-Graviton Amplitudes † ‡ N. Ahmadiniaz∗, F. Bastianelli , O. Corradini∗∗, José M. Dávila and C. Schubert∗ ∗Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Apdo. Postal 2-82, C.P. 58040, Morelia, Michoacán, México. †Dipartimento di Fisica ed Astronomia, Università di Bologna and INFN, Sezione di Bologna, Via Irnerio 46, I-40126 Bologna, Italy. ∗∗Centro de Estudios en Física y Matemáticas Básicas y Aplicadas, Universidad Autónoma de Chiapas, C.P. 29000, Tuxtla Gutiérrez, México, and Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Universitá di Modena e Reggio Emilia, Via Campi 213/A, I-41125 Modena, Italy. ‡Facultad de Ciencias, Universidad Autónoma del Estado de México, Instituto Literario 100, Toluca 50000, México. Abstract. We report on an ongoing study of the one-loop photon-graviton amplitudes, using both effective action and worldline techniques. The emphasis is on Kawai-Lewellen-Tye-like relations. Keywords: Photon-graviton, KLT, worldline formalism PACS: 04.60.-m, 04.62.+v MOTIVATIONS In 1986 Kawai, Lewellen and Tye [1] found a relation between tree-level amplitudes in open and closed string theory which in the field theory limit also implies relations between amplitudes in gauge theory and in gravity. -
Arxiv:2002.11085V1 [Hep-Th]
On-Shell Electric-Magnetic Duality and the Dual Graviton 1,2 2 Nathan Moynihan and Jeff Murugan ∗ 1High Energy Physics, Cosmology & Astrophysics Theory group, 2The Laboratory for Quantum Gravity & Strings Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, Cape Town 7700, South Africa Using on-shell amplitude methods, we explore 4-dimensional Electric-Magnetic duality and its double copy. We show explicitly that the on-shell scattering amplitudes know about ‘dual’ photons (and dual gravitons), that the off-shell photon propagator double copies to the graviton propagator and that the magnetic part of the propagator is essential for the double copy to hold. We also show that there is an equivalent gravito-magnetic part of the graviton propagator which is essential in giving rise to solutions with either angular momentum or NUT charge. Furthermore, we comment on the so-called Weinberg paradox, which states that scattering amplitudes involving the mixing of electric and magnetic monopoles cannot be Lorentz invariant, and would seem to preclude the existence of the ’t Hooft-Polyakov (topological) monopole. We trace this paradox to the magnetic part of the propagator, showing that it can be eliminated if one restricts to proper orthochronous Lorentz transformations. Finally, we compute the fully relativistic cross-section for arbitrary spin dyons using the recently formulated on-shell duality transformation and show that this is always fully Lorentz invariant. INTRODUCTION field theory without a Dirac string singularity necessitates the introduction of a second four-vector potential: the The boostrap program of the 1960’s received considerable dual photon [3–6]. -
Tachyonic Dark Matter
Tachyonic dark matter P.C.W. Davies Australian Centre for Astrobiology Macquarie University, New South Wales, Australia 2109 [email protected] Abstract Recent attempts to explain the dark matter and energy content of the universe have involved some radical extensions of standard physics, including quintessence, phantom energy, additional space dimensions and variations in the speed of light. In this paper I consider the possibility that some dark matter might be in the form of tachyons. I show that, subject to some reasonable assumptions, a tachyonic cosmological fluid would produce distinctive effects, such as a surge in quantum vacuum energy and particle creation, and a change in the conventional temperature-time relation for the normal cosmological material. Possible observational consequences are discussed. Keywords: tachyons, cosmological models, dark matter 1 1. Tachyons in an expanding universe In this section I consider the behaviour of a tachyon in an expanding universe, following the treatment in Davies (1975). A tachyon is a particle with imaginary mass iµ (µ real and positive), velocity v > c and momentum and energy given in a local inertial frame by p = µv(v2 – 1)-1/2 (1.1) E = µ(v2 – 1)-1/2 (1.2) where here and henceforth I choose units with c = ħ =1. Consider such a particle moving in a Friedmann-Roberston-Walker (FRW) universe with scale factor a(t), t being the cosmic time. In a short time dt, the particle will have moved a distance vdt to a point where the local comoving frame is retreating at a speed dv = (a′/a)vdt, where a′ = da/dt. -
Topological Amplitudes and the String Effective Action
Topological Amplitudes and the String Effective Action Ahmad Zein Assi Ph.D. Dissertation Palaiseau, 2013 arXiv:1402.2428v2 [hep-th] 24 Apr 2014 Amplitudes Topologiques et l’Action Effective de la Th´eorie des Cordes Th`ese de doctorat pr´epar´ee par Ahmad Zein Assi ∗ en vue d’obtenir le grade de Docteur De L’Ecole´ Polytechnique Sp´ecialit´e: Physique Th´eorique Soutenue le 11 D´ecembre 2013 devant la commission d’examen compos´ee de Ignatios Antoniadis Directeur de th`ese Emilian Dudas Pr´esident du jury Albrecht Klemm Examinateur Jose Francisco Morales Morera Examinateur Kumar Shiv Narain Examinateur Nikita Nekrasov Rapporteur Boris Pioline Rapporteur ∗ Centre de Physique Th´eorique - UMR 7644 D´epartement de Physique - Division Th´eorie Ecole Polytechnique CERN Bat. 6, RDC, 91128 Palaiseau Cedex, France CH-1211 Gen`eve 23, Suisse Phone +33 (0)1 69 33 42 01 Phone +41 (0)22 767 42 22 Fax +33 (0)1 69 33 49 49 Fax +41 (0)22 767 38 50 www.cpht.polytechnique.fr wwwth.cern.ch Z@Q« B@ ë@ úÍ@ ú Î To my loved ones Contents . Remerciements xi . R´esum´e xiii . Abstract xv . Summary xvii I. Introduction 1 1. Elements of String Theory and Conformal Field Theory 3 1.1. TheBosonicString ........................... 3 1.2. SuperstringTheory ........................... 17 1.3. Compactification ............................ 30 1.4. Dualities................................. 47 II. N=2 Topological String Theory and Gauge Theory: an Overview 51 2. Topological Field Theories 55 2.1. Generalities ............................... 56 2.2. Chern-SimonsTheory. 56 2.3. Cohomological Field Theories . 57 3. Topological Sigma Models 61 3.1. -
Ads₄/CFT₃ and Quantum Gravity
AdS/CFT and quantum gravity Ioannis Lavdas To cite this version: Ioannis Lavdas. AdS/CFT and quantum gravity. Mathematical Physics [math-ph]. Université Paris sciences et lettres, 2019. English. NNT : 2019PSLEE041. tel-02966558 HAL Id: tel-02966558 https://tel.archives-ouvertes.fr/tel-02966558 Submitted on 14 Oct 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Prepar´ ee´ a` l’Ecole´ Normale Superieure´ AdS4/CF T3 and Quantum Gravity Soutenue par Composition du jury : Ioannis Lavdas Costas BACHAS Le 03 octobre 2019 Ecole´ Normale Superieure Directeur de These Guillaume BOSSARD Ecole´ Polytechnique Membre du Jury o Ecole´ doctorale n 564 Elias KIRITSIS Universite´ Paris-Diderot et Universite´ de Rapporteur Physique en ˆIle-de-France Crete´ Michela PETRINI Sorbonne Universite´ President´ du Jury Nicholas WARNER University of Southern California Membre du Jury Specialit´ e´ Alberto ZAFFARONI Physique Theorique´ Universita´ Milano-Bicocca Rapporteur Contents Introduction 1 I 3d N = 4 Superconformal Theories and type IIB Supergravity Duals6 1 3d N = 4 Superconformal Theories7 1.1 N = 4 supersymmetric gauge theories in three dimensions..............7 1.2 Linear quivers and their Brane Realizations...................... 10 1.3 Moduli Space and Symmetries............................