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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. -
Born-Infeld Action, Supersymmetry and String Theory
Imperial/TP/98-99/67 hep-th/9908105 Born-Infeld action, supersymmetry and string theory ⋆ A.A. Tseytlin † Theoretical Physics Group, Blackett Laboratory, Imperial College, London SW7 2BZ, U.K. Abstract We review and elaborate on some aspects of Born-Infeld action and its supersymmetric generalizations in connection with string theory. Contents: BI action from string theory; some properties of bosonic D = 4 BI action; = 1 and = 2 supersymmetric BI actions with manifest linear D = 4 supersymmetry; four-derivativeN N terms in = 4 supersymmetric BI action; BI actions with ‘deformed’ supersymmetry from D-braneN actions; non-abelian generalization of BI action; derivative corrections to BI action in open superstring theory. arXiv:hep-th/9908105v5 11 Dec 1999 To appear in the Yuri Golfand memorial volume, ed. M. Shifman, World Scientific (2000) August 1999 ⋆ e-mail address: [email protected] † Also at Lebedev Physics Institute, Moscow. 1. Introduction It is a pleasure for me to contribute to Yuri Golfand’s memorial volume. I met Yuri several times during his occasional visits of Lebedev Institute in the 80’s. Two of our discussions in 1985 I remember quite vividly. Golfand found appealing the interpretation of string theory as a theory of ‘quantized coordinates’, viewing it as a generalization of some old ideas of noncommuting coordinates. In what should be an early spring of 1985 he read our JETP Letter [1] which was a brief Russian version of our approach with Fradkin [2] to string theory effective action based on representation of generating functional for string amplitudes as Polyakov string path integral with a covariant 2-d sigma model in the exponent. -
Dyson, Feynman, Schwinger, and Tomonaga
QED and the Men Who Made It: Dyson, Feynman, Schwinger, and Tomonaga Silvan S. Schweber Princeton University Press Princeton, New Jersey Copyright ©1994 by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, Chichester, West Sussex All Rights Reserved Library of Congress Cataloging-in-Publication Data Schweber, S. S. (Silvan S.) QED and the men who made it : Dyson, Feynman, Schwinger, and Tomonaga / Silvan S. Schweber. p. cm. - (Princeton series in physics) Includes bibliographical references and index. ISBN 0-691-03685-3; (pbk) 0-691-03327-7 1. Quantum electrodynamics—History. 2. Physicists—Biography. I. Title. II. Series. QC680.S34 1944 93-33550 537.6'7'09—<lc20 This book has been composed in TIMES ROMAN and KABEL Princeton University Press books are printed on acid-free paper, and meet the guidelines for permanence and durability of the Committee on Production Guidelines for Book Longevity of the Council on Library Resources Printed in the United States of America 10 9 8 7 ISBN-13: 978-0-691-03327-3 ISBN-10: 0-691-03327-7 QED and the Men Who Made It PRINCETON SERIES IN PHYSICS Edited by Philip W. Anderson, Arthur S. Wightman, and Sam B. Treiman (published since 1976) Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann edited by Elliott H. Lieb, B. Simon, and A. S. Wightman Convexity in the Theory of Lattice Gasses by Robert B. Israel Works on the Foundations of Statistical Physics by N. S. Krylov Surprises in Theoretical Physics by Rudolf Peierls The Large-Scale Structure of the Universe by P. -
C. PROPOSAL DESCRIPTION Integrable Models and Applications
C. PROPOSAL DESCRIPTION Integrable models and applications: from strings to condensed matter EUCLID | European Collaboration Linking Integrability with other Disciplines Coordinating node Member 1 - U.York - York-Mons [Ed Corrigan ] Bulgaria Member 2 - INRNE.Sofia - Sofia [Ivan Todorov ] France Member 3 - CNRS.Site Alpes - Annecy{Saclay [Paul Sorba ] Member 4 - ENS.Lyon - Lyon{Jussieu [Jean-Michel Maillet ] Member 5 - LPM.Montpellier - Montpellier{Tours [Vladimir Fateev ] Germany Member 6 - FU.Berlin - Berlin [Andreas Fring ] Member 7 - PI.Bonn - Bonn{Hannover [Vladimir Rittenberg ] Hungary Member 8 - ELTE.Budapest - Budapest{Szeged [L´azl´oPalla ] Italy Member 9 - INFN.Bologna - Bologna{Firenze{Torino [Francesco Ravanini ] Member 10 - SISSA.Trieste - Trieste [Giuseppe Mussardo ] Spain Member 11 - U.Santiago - Santiago de Compostela{Madrid{Bilbao [Luis Miramontes ] UK Member 12 - U.Durham - Durham{Heriot-Watt [Patrick Dorey ] Member 13 - KCL.London - KCL{Swansea{Cambridge [G´erard Watts ] EUCLID 2 1a. RESEARCH TOPIC Quantum field theory has grown from its beginnings in the 1940s into one of the most significant areas in modern theoretical physics. In particle physics, it underpins the standard model of the electromagnetic, weak and strong interactions, and is a major ingredient of string theory, currently the most promising candidate for an extension of the standard model to incorporate gravity. In statistical mechanics, the vital r^oleof quantum-field-theoretic techniques has been recognised since the work of Wilson in the late 1960s. The ever-increasing use of the methods of quantum field theory in condensed matter physics demonstrates the growing practical importance of the subject, and at the same time provides a vital source of fresh ideas and inspirations for those working in more abstract directions. -
On the Generalized Geometry Origin of Noncommutative Gauge Theory
Published for SISSA by Springer Received: March 25, 2013 Accepted: July 4, 2013 Published: July 22, 2013 On the generalized geometry origin of JHEP07(2013)126 noncommutative gauge theory Branislav Jurˇco,a,b Peter Schuppc and Jan Vysok´yc,d aMathematical Institute, Faculty of Mathematics and Physics, Charles University, Prague 186 75, Czech Republic bCERN, Theory Division, CH-1211 Geneva 23, Switzerland cJacobs University Bremen, 28759 Bremen, Germany dCzech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Prague 115 19, Czech Republic E-mail: [email protected], [email protected], [email protected] Abstract: We discuss noncommutative gauge theory from the generalized geometry point of view. We argue that the equivalence between the commutative and semiclassically noncommutative DBI actions is naturally encoded in the generalized geometry of D-branes. Keywords: D-branes, Non-Commutative Geometry, Differential and Algebraic Geometry, Sigma Models Dedicated to Bruno Zumino on the occasion of his 90th birthday Open Access doi:10.1007/JHEP07(2013)126 Contents 1 Introduction 1 2 Generalized geometry 3 2.1 Fiberwise metric, generalized metric 3 2.2 Factorizations of generalized metric, open-closed relations 6 2.3 Dorfman bracket, Dirac structures, D-branes 7 JHEP07(2013)126 3 Gauge field as an orthogonal transformation of the generalized metric 8 4 Non-topological Poisson-sigma model and Polyakov action 10 5 Seiberg-Witten map 11 6 Noncommutative gauge theory and DBI action 12 1 Introduction Generalized geometry [1, 2] recently appeared to be a powerful mathematical tool for the description of various aspects of string and field theories. -
Lawrence Berkeley National Laboratory Recent Work
Lawrence Berkeley National Laboratory Recent Work Title T-duality and Ramond-Ramond backgrounds in the Matrix Model Permalink https://escholarship.org/uc/item/7xc5s2s6 Journal Nuclear Physics B, 549(1/2/2008) Author Brace, D. Publication Date 1998-11-01 eScholarship.org Powered by the California Digital Library University of California LBNL-42548 Preprint ERNEST ORLANDO LAWRENCE BERKELEY NATIONAL LABORATORY T-Duality and Ramond-Ramond Backgrounds in the Matrix Model Daniel Brace, Bogdan Morariu, and Bruno Zumino Physics Division November 1998 Submitted to Nuclear Physics B ..... ' . -~. """-' e ...... ·--- .;:.., ~ L. ..... ·~). "·· ' . ~ ~-.· .. ( ~ --- I :zCJJ I I +:> N c.r. +:> CJJ DISCLAIMER This document was prepared as an account of work sponsored by the United States Government. While this document is believed to contain correct information, neither the United States Government nor any agency thereof, nor the Regents of the University of California, nor any of their employees, makes any warranty, express or implied, or assumes any legal responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by its trade name, trademark, manufacturer, or otherwise, does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof, or the Regents of the University of -
Particles Meet Cosmology and Strings in Boston
PASCOS 2004 Particles meet cosmology and strings in Boston PASCOS 2004 is the latest in the symposium series that brings together disciplines from the frontier areas of modern physics. Participants at PASCOS 2004 and the Pran Nath Fest, which were held at Northeastern University, Boston. They include Howard Baer - front row sixth from left - then, moving right, Alfred Bartl, Michael Dine, Bruno Zumino, Pran Nath, Steven Weinberg, Paul Frampton, Mariano Quiros, Richard Arnowitt, MaryKGaillard, Peter Nilles and Michael Vaughn (chair, local organizing committee). The Tenth International Symposium on Particles, Strings and Cos redshift surveys suggests that the critical matter density of the uni mology took place at Northeastern University, Boston, on 16-22 verse is Qm ~ 0.3, direct dynamical measurements combined with August 2004. Two days of the symposium, 18-19 August, were the estimates of the luminosity density indicate Qm = 0.1-0.2. She devoted to the Pran Nath Fest in celebration of the 65th birthday of suggested that the apparent discrepancy may result from variations Matthews University Distinguished Professor Pran Nath. The PASCOS in the dark-matter fraction with mass and scale. She also suggested symposium is the largest interdisciplinary gathering on the interface that gravitational lensing maps combined with large redshift sur of the three disciplines of cosmology, particle physics and string veys promise to measure the dark-matter distribution in the uni theory, which have become increasingly entwined in recent years. verse. The microwave background can also provide clues to inflation Topics at PASCOS 2004 included the large-scale structure of the in the early universe. -
Memories of a Theoretical Physicist
Memories of a Theoretical Physicist Joseph Polchinski Kavli Institute for Theoretical Physics University of California Santa Barbara, CA 93106-4030 USA Foreword: While I was dealing with a brain injury and finding it difficult to work, two friends (Derek Westen, a friend of the KITP, and Steve Shenker, with whom I was recently collaborating), suggested that a new direction might be good. Steve in particular regarded me as a good writer and suggested that I try that. I quickly took to Steve's suggestion. Having only two bodies of knowledge, myself and physics, I decided to write an autobiography about my development as a theoretical physicist. This is not written for any particular audience, but just to give myself a goal. It will probably have too much physics for a nontechnical reader, and too little for a physicist, but perhaps there with be different things for each. Parts may be tedious. But it is somewhat unique, I think, a blow-by-blow history of where I started and where I got to. Probably the target audience is theoretical physicists, especially young ones, who may enjoy comparing my struggles with their own.1 Some dis- claimers: This is based on my own memories, jogged by the arXiv and IN- SPIRE. There will surely be errors and omissions. And note the title: this is about my memories, which will be different for other people. Also, it would not be possible for me to mention all the authors whose work might intersect mine, so this should not be treated as a reference work. -
Uwaterloo Latex Thesis Template
The Vertex Algebra Vertex by Miroslav Rapˇc´ak A thesis presented to the University of Waterloo in fulfillment of the thesis requirement for the degree of Doctor of Philosophy in Physics Waterloo, Ontario, Canada, 2019 c Miroslav Rapˇc´ak2019 Examining Committee Membership The following served on the Examining Committee for this thesis. The decision of the Examining Committee is by majority vote. Supervisor: Davide Gaiotto Perimeter Institute for Theoretical Physics Co-supervisor: Jaume Gomis Perimeter Institute for Theoretical Physics Committee Member: Niayesh Afshordi University of Waterloo, Department of Physics and Astronomy Committee Member: Kevin Costello Perimeter Institute for Theoretical Physics Internal/External Member: Benoit Charbonneau University of Waterloo, Department of Pure Mathematics External Examiner: Rajesh Gopakumar International Centre for Theoretical Sciences in Bangalore ii Author's Declaration: I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. iii Abstract This thesis reviews some aspects of a large class of vertex operator algebras labelled by (p; q) webs colored by non-negative integers associated to faces of the web diagrams [1,2,3,4]. Such vertex operator algebras conjecturally correspond to two mutually dual setups in gauge theory. First, they appear as a subsector of local operators living on two- dimensional junctions of half-BPS interfaces in four-dimensional = 4 super Yang-Mills theory. Secondly, they are AGT dual to = 2 gauge theories supportedN on four-cycles inside toric Calabi-Yau three-folds. -
Arxiv:2002.11868V1 [Math.AG] 27 Feb 2020 Supersymmetric Gauge Theory; Chiral Map, Nonlinear Sigma Model MSC Number 2020: 14A22, 16S38, 58A50; 14M30, 81T60, 83E50
December 2019 arXiv:yymm.nnnnn [math.AG] SUSY(2.1): d = 3 + 1, N = 1 SQFT, trivialized spinor bundle Grothendieck meeting [Wess & Bagger]: Wess & Bagger [Supersymmetry and supergravity: Chs. IV, V, VI, VII, XXII] (2nd ed.) reconstructed in complexified Z=2-graded C1-Algebraic Geometry I. The construction under a trivialization of the Weyl spinor bundles by complex conjugate pairs of covariantly constant sections Chien-Hao Liu and Shing-Tung Yau Abstract Forty-six years after the birth of supersymmetry in 1973 from works of Julius Wess and Bruno Zumino, the standard quantum-field-theorists and particle physicists' language of `superspaces', `supersymmetry', and `supersymmetric action functionals in superspace for- mulation' as given in Chapters IV, V, VI, VII, XXII of the classic on supersymmetry and supergravity: Julius Wess & Jonathan Bagger: Supersymmetry and Supergravity (2nd ed.), is finally polished, with only minimal mathematical patches added for consistency and ac- curacy in dealing with nilpotent objects from the Grassmann algebra involved, to a precise setting in the language of complexified Z=2-graded C1-Algebraic Geometry. This is com- pleted after the lesson learned from D(14.1) (arXiv:1808.05011 [math.DG]) and the notion of `d = 3+1, N = 1 towered superspaces' as complexified Z=2-graded C1-schemes, their distin- guished sectors, and purge-evaluation maps first developed in SUSY(1) (= D(14.1.Supp.1)) (arXiv:1902.06246 [hep-th]) and further polished in the current work. While the construction depends on a choice of a trivialization of the spinor bundle by covariantly constant sections, as long as the transformation law and the induced isomorphism under a change of trivial- ization of the spinor bundle by covariantly constant sections are understood, any object or structure thus defined or constructed is mathematically well-defined. -
Is Different PRINCETON SERIES in PHYSICS Edited by Paul J
More is Different PRINCETON SERIES IN PHYSICS Edited by Paul J. Steinhardt (published since 1976) Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann edited by Elliott H. Lieb, B. Simon, and A. S. Wightman Convexity in the Theory of Lattice Gases by Robert B. Israel Works on the Foundations of Statistical Physics by N. S. Krylov Surprises in Theoretical Physics by Rudolf Peierls The Large-Scale Structure of the Universe by P. J. E. Peebles Statistical Physics and the Atomic Theory of Matter, From boyle and Newton to Landau and Onsager by Stephen G. Brush Quantum Theory and Measurement edited by John Archibald Wheeler and Wojciech Hubert Zurek Current Algebra and Anomalies by Sam B. Treiman, Roman Jackiw, Bruno Zumino, and Edward Witten Quantum Fluctuations by E. Nelson Spin Glasses and Other Frustrated Systems by Debashish Chowdhury (Spin Glasses and Other Frustrated Systems is published in co-operation with World Scientific Publishing Co. Pte. Ltd., Singapore.) Weak Interactions in Nuclei by Barry R. Holstein Large-Scale Motions in the Universe: A Vatican Study Week edited by Vera C. Rubin and George V. Coyne, S.J. Instabilities and Fronts in Extended Systems by Pierre Collet and Jean-Pierre Eckmann More Surprises in Theoretical Physics by Rudolf Peierls From Perturbative to Constructive Renormalization by Vincent Rivasseau Supersymmetry and Supergravity (2nd ed.) by Julius Wess and Jonathan Bagger Maxwell's Demon: Entropy, Information, Computing edited by Harvey S. Leff and Andrew F. Rex Introduction to Algebraic and Constructive Quantum Field Theory by John C. Baez, Irving E. Segal, and Zhengfang Zhou Principles of Physical Cosmology by P. -
Duality Invariant Born-Infeld Theory
July 1999 UCB-PTH-99/26 LBNL-43404 Duality Invariant Born-Infeld Theory Daniel Brace∗, Bogdan Morariu† and Bruno Zumino‡ Department of Physics University of California and Theoretical Physics Group Lawrence Berkeley National Laboratory University of California Berkeley, California 94720 Abstract We present an Sp(2n, R) duality invariant Born-Infeld U(1)2n gauge theory with scalar fields. To implement this duality we had to intro- duce complex gauge fields and as a result the rank of the duality group is only half as large as that of the corresponding Maxwell gauge arXiv:hep-th/9905218v2 24 Jul 1999 theory with the same number of gauge fields. The latter is self-dual under Sp(4n, R), the largest allowed duality group. A special case appears for n = 1 when one can also write an SL(2, R) duality invari- ant Born-Infeld theory with a real gauge field. We also describe the supersymmetric version of the above construction. Keywords: Duality, Born-Infeld, Supersymmetry ∗email address: [email protected] †email address: [email protected] ‡email address: [email protected] The general theory of duality invariance of abelian gauge theory devel- oped in [1, 2] was inspired by the appearance of duality in extended su- pergravity theories [3, 4]. For a theory with M abelian gauge fields and appropriately chosen scalars the maximal duality group is Sp(2M, R). The only known example with an Sp(2M, R) duality symmetry, where the La- grangian is known in closed form is the Maxwell theory with M gauge fields and an M-dimensional symmetric matrix scalar field.