Lectures on D-Branes
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Supergravity and Its Legacy Prelude and the Play
Supergravity and its Legacy Prelude and the Play Sergio FERRARA (CERN – LNF INFN) Celebrating Supegravity at 40 CERN, June 24 2016 S. Ferrara - CERN, 2016 1 Supergravity as carved on the Iconic Wall at the «Simons Center for Geometry and Physics», Stony Brook S. Ferrara - CERN, 2016 2 Prelude S. Ferrara - CERN, 2016 3 In the early 1970s I was a staff member at the Frascati National Laboratories of CNEN (then the National Nuclear Energy Agency), and with my colleagues Aurelio Grillo and Giorgio Parisi we were investigating, under the leadership of Raoul Gatto (later Professor at the University of Geneva) the consequences of the application of “Conformal Invariance” to Quantum Field Theory (QFT), stimulated by the ongoing Experiments at SLAC where an unexpected Bjorken Scaling was observed in inclusive electron- proton Cross sections, which was suggesting a larger space-time symmetry in processes dominated by short distance physics. In parallel with Alexander Polyakov, at the time in the Soviet Union, we formulated in those days Conformal invariant Operator Product Expansions (OPE) and proposed the “Conformal Bootstrap” as a non-perturbative approach to QFT. S. Ferrara - CERN, 2016 4 Conformal Invariance, OPEs and Conformal Bootstrap has become again a fashionable subject in recent times, because of the introduction of efficient new methods to solve the “Bootstrap Equations” (Riccardo Rattazzi, Slava Rychkov, Erik Tonni, Alessandro Vichi), and mostly because of their role in the AdS/CFT correspondence. The latter, pioneered by Juan Maldacena, Edward Witten, Steve Gubser, Igor Klebanov and Polyakov, can be regarded, to some extent, as one of the great legacies of higher dimensional Supergravity. -
Lectures on D-Branes
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by CERN Document Server CPHT/CL-615-0698 hep-th/9806199 Lectures on D-branes Constantin P. Bachas1 Centre de Physique Th´eorique, Ecole Polytechnique 91128 Palaiseau, FRANCE [email protected] ABSTRACT This is an introduction to the physics of D-branes. Topics cov- ered include Polchinski’s original calculation, a critical assessment of some duality checks, D-brane scattering, and effective worldvol- ume actions. Based on lectures given in 1997 at the Isaac Newton Institute, Cambridge, at the Trieste Spring School on String The- ory, and at the 31rst International Symposium Ahrenshoop in Buckow. June 1998 1Address after Sept. 1: Laboratoire de Physique Th´eorique, Ecole Normale Sup´erieure, 24 rue Lhomond, 75231 Paris, FRANCE, email : [email protected] Lectures on D-branes Constantin Bachas 1 Foreword Referring in his ‘Republic’ to stereography – the study of solid forms – Plato was saying : ... for even now, neglected and curtailed as it is, not only by the many but even by professed students, who can suggest no use for it, never- theless in the face of all these obstacles it makes progress on account of its elegance, and it would not be astonishing if it were unravelled. 2 Two and a half millenia later, much of this could have been said for string theory. The subject has progressed over the years by leaps and bounds, despite periods of neglect and (understandable) criticism for lack of direct experimental in- put. To be sure, the construction and key ingredients of the theory – gravity, gauge invariance, chirality – have a firm empirical basis, yet what has often catalyzed progress is the power and elegance of the underlying ideas, which look (at least a posteriori) inevitable. -
Dual Fields and E {11}
KCL-MTH-06-14 hep-th/0612001 Dual fields and E11 Fabio Riccioni and Peter West Department of Mathematics King’s College, London WC2R 2LS, UK Abstract We show that the adjoint representation of E11 contains generators corresponding to the infinite possible dual descriptions of the bosonic on-shell degrees of freedom of eleven dimensional supergravity. We also give an interpretation for the fields corresponding to many of the other generators in the adjoint representation. arXiv:hep-th/0612001v1 1 Dec 2006 1 A few years ago it was conjectured [1] that a rank eleven Kac-Moody algebra, which was called E11, was a symmetry of M theory. The non-linear realisation of this algebra at its lowest levels was shown to contain the fields of eleven dimensional supergravity and to have the equations of motion of this theory [1] when one made use of the earlier results of reference [2]. The physical field content is extracted by decomposing the adjoint representation of E11 into the representations of its A10, or Sl(11), sub-algebra which is associated in the non-linear realisation with eleven dimensional gravity. Non-linear realisations of E11 can also be used to describe ten dimensional theories, but in this case the adjoint representation is decomposed into representations of A9, or Sl(10), associated with ten dimensional gravity. There are only two such A9 subalgebras and the two different choices were found to lead to non-linear realisations which at low levels are the IIA and IIB supergravity theories in references [1] and [3] respectively. It is striking to examine tables of the generators [4] listed in terms of increasing level and see how the generators associated with the field content of the IIA and IIB supergravity theories occupy precisely all the lower levels before an infinite sea of generators whose physical significance was unknown at the time the tables of reference [4] were constructed. -
Particle & Nuclear Physics Quantum Field Theory
Particle & Nuclear Physics Quantum Field Theory NOW AVAILABLE New Books & Highlights in 2019-2020 ON WORLDSCINET World Scientific Lecture Notes in Physics - Vol 83 Lectures of Sidney Coleman on Quantum Field Field Theory Theory A Path Integral Approach Foreword by David Kaiser 3rd Edition edited by Bryan Gin-ge Chen (Leiden University, Netherlands), David by Ashok Das (University of Rochester, USA & Institute of Physics, Derbes (University of Chicago, USA), David Griffiths (Reed College, Bhubaneswar, India) USA), Brian Hill (Saint Mary’s College of California, USA), Richard Sohn (Kronos, Inc., Lowell, USA) & Yuan-Sen Ting (Harvard University, “This book is well-written and very readable. The book is a self-consistent USA) introduction to the path integral formalism and no prior knowledge of it is required, although the reader should be familiar with quantum “Sidney Coleman was the master teacher of quantum field theory. All of mechanics. This book is an excellent guide for the reader who wants a us who knew him became his students and disciples. Sidney’s legendary good and detailed introduction to the path integral and most of its important course remains fresh and bracing, because he chose his topics with a sure application in physics. I especially recommend it for graduate students in feel for the essential, and treated them with elegant economy.” theoretical physics and for researchers who want to be introduced to the Frank Wilczek powerful path integral methods.” Nobel Laureate in Physics 2004 Mathematical Reviews 1196pp Dec 2018 -
Scientific Report for the Year 2000
The Erwin Schr¨odinger International Boltzmanngasse 9 ESI Institute for Mathematical Physics A-1090 Wien, Austria Scientific Report for the Year 2000 Vienna, ESI-Report 2000 March 1, 2001 Supported by Federal Ministry of Education, Science, and Culture, Austria ESI–Report 2000 ERWIN SCHRODINGER¨ INTERNATIONAL INSTITUTE OF MATHEMATICAL PHYSICS, SCIENTIFIC REPORT FOR THE YEAR 2000 ESI, Boltzmanngasse 9, A-1090 Wien, Austria March 1, 2001 Honorary President: Walter Thirring, Tel. +43-1-4277-51516. President: Jakob Yngvason: +43-1-4277-51506. [email protected] Director: Peter W. Michor: +43-1-3172047-16. [email protected] Director: Klaus Schmidt: +43-1-3172047-14. [email protected] Administration: Ulrike Fischer, Eva Kissler, Ursula Sagmeister: +43-1-3172047-12, [email protected] Computer group: Andreas Cap, Gerald Teschl, Hermann Schichl. International Scientific Advisory board: Jean-Pierre Bourguignon (IHES), Giovanni Gallavotti (Roma), Krzysztof Gawedzki (IHES), Vaughan F.R. Jones (Berkeley), Viktor Kac (MIT), Elliott Lieb (Princeton), Harald Grosse (Vienna), Harald Niederreiter (Vienna), ESI preprints are available via ‘anonymous ftp’ or ‘gopher’: FTP.ESI.AC.AT and via the URL: http://www.esi.ac.at. Table of contents General remarks . 2 Winter School in Geometry and Physics . 2 Wolfgang Pauli und die Physik des 20. Jahrhunderts . 3 Summer Session Seminar Sophus Lie . 3 PROGRAMS IN 2000 . 4 Duality, String Theory, and M-theory . 4 Confinement . 5 Representation theory . 7 Algebraic Groups, Invariant Theory, and Applications . 7 Quantum Measurement and Information . 9 CONTINUATION OF PROGRAMS FROM 1999 and earlier . 10 List of Preprints in 2000 . 13 List of seminars and colloquia outside of conferences . -
David Olive: His Life and Work
David Olive his life and work Edward Corrigan Department of Mathematics, University of York, YO10 5DD, UK Peter Goddard Institute for Advanced Study, Princeton, NJ 08540, USA St John's College, Cambridge, CB2 1TP, UK Abstract David Olive, who died in Barton, Cambridgeshire, on 7 November 2012, aged 75, was a theoretical physicist who made seminal contributions to the development of string theory and to our understanding of the structure of quantum field theory. In early work on S-matrix theory, he helped to provide the conceptual framework within which string theory was initially formulated. His work, with Gliozzi and Scherk, on supersymmetry in string theory made possible the whole idea of superstrings, now understood as the natural framework for string theory. Olive's pioneering insights about the duality between electric and magnetic objects in gauge theories were way ahead of their time; it took two decades before his bold and courageous duality conjectures began to be understood. Although somewhat quiet and reserved, he took delight in the company of others, generously sharing his emerging understanding of new ideas with students and colleagues. He was widely influential, not only through the depth and vision of his original work, but also because the clarity, simplicity and elegance of his expositions of new and difficult ideas and theories provided routes into emerging areas of research, both for students and for the theoretical physics community more generally. arXiv:2009.05849v1 [physics.hist-ph] 12 Sep 2020 [A version of section I Biography is to be published in the Biographical Memoirs of Fellows of the Royal Society.] I Biography Childhood David Olive was born on 16 April, 1937, somewhat prematurely, in a nursing home in Staines, near the family home in Scotts Avenue, Sunbury-on-Thames, Surrey. -
Hep-Th/0304246. (Cit
University of Groningen Kac-Moody Symmetries and Gauged Supergravity Nutma, Teake Aant IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below. Document Version Publisher's PDF, also known as Version of record Publication date: 2010 Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Nutma, T. A. (2010). Kac-Moody Symmetries and Gauged Supergravity. s.n. Copyright Other than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons). Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. Download date: 26-09-2021 Bibliography [6] Richard L. Arnowitt, Stanley Deser, and Charles W. Misner. \The dynamics of general relativity". In: Gravitation: an introduction to current research (1962), 227264. eprint: gr-qc/0405109. (Cit. on p. 107). [7] V. A. Belinsky, I. M. Khalatnikov, and E. M. Lifshitz. \Oscillatory approach to a singular point in the relativistic cosmology". In: Adv. Phys. 19 (1970), pp. 525{573. doi: 10.1080/00018737000101171. -
Spotlight on Quantum Black Holes
Physics monitor the results continuing to emerge from them with the declared objectives of charges (magnetic monopoles) do the HERA electron-proton collider at the world's major Laboratories. T.D. not exist. Particle theorists are not so DESY, Hamburg, where the Zeus Lee drew attention to the need for sure, and for a long time magnetic and H1 experiments look deep inside future studies to understand CP monopoles have been tentatively the proton, showing that its gluon violation - the delicate asymmetry included on the theoretical menu. content increases as the momentum between matter and antimatter. The role of these monopoles has fraction decreases. With a large now become crucial. kinematical range now covered, Information from Klaus Monig and Also playing a central role is the these results correlate well with data Clara Matteuzzi idea of supersymmetry. In a quantum from fixed target experiments. theory, basic particles, like quarks The two HERA experiments con and leptons (fermions), interact tinue to see 'rapidity gaps', where through force-carrying particles events pile up in kinematical bands. Spotlight on quantum (bosons) like the photon of electro- Many people have understood this in magnetism, the W and Z of the weak terms of the incoming electron black holes nuclear force and the gluon of the bouncing off a proton constituent in a strong inter-quark force. In super- 'colourless' way ('colour' is for the article theorists are getting symmetry, each fermion has addi quark-gluon force what electric P unusually excited these days as tional boson partners, and vice versa. charge is for the electromagnetic new ideas and different approaches So far, no evidence for super- force). -
Annual Rpt 2004 For
I N S T I T U T E for A D V A N C E D S T U D Y ________________________ R E P O R T F O R T H E A C A D E M I C Y E A R 2 0 0 3 – 2 0 0 4 EINSTEIN DRIVE PRINCETON · NEW JERSEY · 08540-0631 609-734-8000 609-924-8399 (Fax) www.ias.edu Extract from the letter addressed by the Institute’s Founders, Louis Bamberger and Mrs. Felix Fuld, to the Board of Trustees, dated June 4, 1930. Newark, New Jersey. It is fundamental in our purpose, and our express desire, that in the appointments to the staff and faculty, as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. TABLE OF CONTENTS 4·BACKGROUND AND PURPOSE 7·FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 10 · ADMINISTRATION 12 · PRESENT AND PAST DIRECTORS AND FACULTY 15 · REPORT OF THE CHAIRMAN 20 · REPORT OF THE DIRECTOR 24 · OFFICE OF THE DIRECTOR - RECORD OF EVENTS 31 · ACKNOWLEDGMENTS 43 · REPORT OF THE SCHOOL OF HISTORICAL STUDIES 61 · REPORT OF THE SCHOOL OF MATHEMATICS 81 · REPORT OF THE SCHOOL OF NATURAL SCIENCES 107 · REPORT OF THE SCHOOL OF SOCIAL SCIENCE 119 · REPORT OF THE SPECIAL PROGRAMS 139 · REPORT OF THE INSTITUTE LIBRARIES 143 · INDEPENDENT AUDITORS’ REPORT 3 INSTITUTE FOR ADVANCED STUDY BACKGROUND AND PURPOSE The Institute for Advanced Study was founded in 1930 with a major gift from New Jer- sey businessman and philanthropist Louis Bamberger and his sister, Mrs. -
Modularity and Vacua in N = 1* Supersymmetric Gauge Theory Antoine Bourget
Modularity and vacua in N = 1* supersymmetric gauge theory Antoine Bourget To cite this version: Antoine Bourget. Modularity and vacua in N = 1* supersymmetric gauge theory. Physics [physics]. Université Paris sciences et lettres, 2016. English. NNT : 2016PSLEE011. tel-01427599 HAL Id: tel-01427599 https://tel.archives-ouvertes.fr/tel-01427599 Submitted on 5 Jan 2017 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. THÈSE DE DOCTORAT DE L’ÉCOLE NORMALE SUPÉRIEURE Spécialité : Physique École doctorale : Physique en Île-de-France réalisée au Laboratoire de Physique Théorique de l’ENS présentée par Antoine BOURGET pour obtenir le grade de : DOCTEUR DE L’ÉCOLE NORMALE SUPÉRIEURE Sujet de la thèse : Vides et Modularité dans les théories de jauge supersymétriques = 1∗ N soutenue le 01/07/2016 devant le jury composé de : M. Ofer Aharony Rapporteur M. Costas Bachas Examinateur M. Amihay Hanany Rapporteur Mme Michela Petrini Examinateur M. Henning Samtleben Examinateur M. S. Prem Kumar Examinateur M. Jan Troost Directeur de thèse Résumé Nous explorons la structure des vides dans une déformation massive de la théorie de Yang-Mills maximalement supersymétrique en quatre dimensions. Sur un espace-temps topologiquement trivial, la théorie des orbites nilpotentes dans les algèbres de Lie rend possible le calcul exact de l’indice de Witten. -
E11 Must Be a Symmetry of Strings and Branes ∗ Alexander G
Physics Letters B 759 (2016) 663–671 Contents lists available at ScienceDirect Physics Letters B www.elsevier.com/locate/physletb E11 must be a symmetry of strings and branes ∗ Alexander G. Tumanov, Peter West Department of Mathematics, King’s College, London WC2R 2LS, UK a r t i c l e i n f o a b s t r a c t Article history: We construct the dynamical equations, at low levels, that are contained in the non-linear realisation of Received 4 February 2016 the semi-direct product of E11 and its vector representation in five and eleven dimensions. Restricting Received in revised form 5 April 2016 these equations to contain only the usual fields of supergravity and the generalised space–time to be Accepted 6 June 2016 the usual space–time we find the equations of motion of the five and eleven dimensional maximal Available online 8 June 2016 supergravity theories. Since this non-linear realisation contains effects that are beyond the supergravity Editor: N. Lambert approximation and are thought to be present in an underlying theory we conclude that the low energy effective action of string and branes should possess an E11 symmetry. © 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license 3 (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP . 1. Introduction maximal supergravity theories. These is one in eleven dimensions, two in ten dimensions and one in each dimension below ten. In It has been conjectured that the low energy effective action for addition there also a substantial number of so called gauged su- strings and branes is the non-linear realisation of the semi-direct pergravity theories which are obtained by adding a cosmological product of E11 and its vector (l1) representation, denoted E11 ⊗s l1 constant to a massless maximal supergravity theory in a given [1,2]. -
Introduction to Strings and Branes Peter West Frontmatter More Information
Cambridge University Press 978-0-521-81747-9 - Introduction to Strings and Branes Peter West Frontmatter More information Introduction to Strings and Branes Supersymmetry, strings and branes are believed to be essential ingredients in a single unified consistent theory of physics. This book gives a detailed, step-by-step introduction to the theoretical foundations required for research in strings and branes. After a study of the different formulations of the bosonic and supersymmetric point par- ticles, the classical and quantum bosonic and supersymmetric string theories are presented. This book contains accounts of brane dynamics including D-branes and the M5-brane as well as the duality symmetries of string theory. Several different accounts of interacting strings are presented; these include the sum over world-sheets approach and the origi- nal S-matrix approach. More advanced topics include string field theory and Kac–Moody symmetries of string theory. The book contains pedagogical accounts of conformal quantum field theory, supergravity theories, Clifford algebras and spinors, and Lie algebras. It is essential reading for graduate students and researchers wanting to learn strings and branes. Peter West is a Professor at King’s College London and a Fellow of the Royal Society. He is a pioneer in the development of supersymmetry and its application to strings and branes. © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-81747-9 - Introduction to Strings and Branes Peter West Frontmatter