Quantum Mechanics of Fundamental Systems The Quest for Beauty and Simplicity
Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity
Marc henneaux Jorge Zanelli Editors Quantum Mechanics of Fundamental Systems The Quest for beauty and Simplicity Claudio bunster festschrift Springer
Marc Henneaux · Jorge Zanelli Editors Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity Claudio Bunster Festschrift 123
Marc henneaux Universite libre de bruxelles Jorge zanelli Centro de estudios cientificos Service Physique the Valdivia. Chile z @cecs cl 050 Bruxelles Campus de la plaine henneaux@cecscl henneaux@ulb ac be ISBN:978-0-387-87498-2 e-lSBN:978-0-387-874999 DOI:10.1007978-0-387-874999 Library of Congress Control Number: 2008942059 c Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated ied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, by similar or dissimilar methodology now known or hereafter develop he use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject Printed on acid-free pa
Marc Henneaux Université Libre de Bruxelles Service Physique théorique et mathématique 1050 Bruxelles Campus de la Plaine Belgium henneaux@cecs.cl henneaux@ulb.ac.be Jorge Zanelli Centro de Estudios Cientificos Valdivia, Chile z@cecs.cl ISBN: 978-0-387-87498-2 e-ISBN: 978-0-387-87499-9 DOI: 10.1007/978-0-387-87499-9 Library of Congress Control Number: 2008942059 c Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper springer.com
Contents Part 1 OPENING REMARKS Greetings Opening lecture Marc henneaux Part 2 CONTRIBUTED PAPERS On the Symmetries of Classical String Theory Constantin P bacha Eddington-Born-Infeld Action and the dark Side of General relativity Maximo banados Light-Cone Field Theory, Maximal Supersymmetric Theories and Ezn in Light-Cone Superspace Lars brink Strongly Hyperbolic Extensions of the ADM Hamiltonian J. David Brown Black Hole Entropy and the problem of Universalit Sources for chern-Simons theories Jose d. Edelstein and Jorge Zanelli The Emergence of Fermions and the el Content 125 Francois Englert and Laurent Houart
Contents Part 1 OPENING REMARKS Greetings...................................................................... 3 Opening Lecture .............................................................. 11 Marc Henneaux Part 2 CONTRIBUTED PAPERS On the Symmetries of Classical String Theory .............................. 17 Constantin P. Bachas Eddington–Born–Infeld Action and the Dark Side of General Relativity ...................................................................... 27 M´aximo Ba˜nados Light-Cone Field Theory, Maximal Supersymmetric Theories and E7(7) in Light-Cone Superspace ......................................... 33 Lars Brink Strongly Hyperbolic Extensions of the ADM Hamiltonian ................. 71 J. David Brown Black Hole Entropy and the Problem of Universality ....................... 91 S. Carlip Sources for Chern–Simons Theories ......................................... 107 Jos´e D. Edelstein and Jorge Zanelli The Emergence of Fermions and the E11 Content........................... 125 Franc¸ois Englert and Laurent Houart v
ontents Why Does the Universe Inflate? 147 S.w. Hawking Kac-Moody Algebras and the Structure of Cosmology gularities:A N on the belinskii-Khalatnikov-Lifshitz Analysis Marc henneaux Black Holes with a Conformally Coupled Scalar Field 167 Cristian martinez Quantum Mechanics on Some Supermanifolds Luca mezincescu John Wheeler's Quest for Beauty and Simplicity 193 Charles W. misner magnetic Monopoles in Electromagnetism and gravity 197 Ruben portugues The Census taker’sHat 213 Leonard Susskind Static Wormholes in Vacuum and gravity in Diverse Dimensions 267 Ricardo troncoso Part 3 CLOSING Claudio Bunster: A Personal recollection Jorge Zanelli Profile of claudio Bunster Index 303
vi Contents Why Does the Universe Inflate? .............................................. 147 S.W. Hawking Kac–Moody Algebras and the Structure of Cosmological Singularities: A New Light on the Belinskii–Khalatnikov–Lifshitz Analysis............................. 155 Marc Henneaux Black Holes with a Conformally Coupled Scalar Field...................... 167 Cristi´an Mart´ınez Quantum Mechanics on Some Supermanifolds ............................. 181 Luca Mezincescu John Wheeler’s Quest for Beauty and Simplicity ........................... 193 Charles W. Misner Magnetic Monopoles in Electromagnetism and Gravity .................... 197 Rub´en Portugue´s The Census Taker’s Hat ...................................................... 213 Leonard Susskind Static Wormholes in Vacuum and Gravity in Diverse Dimensions.................................................................... 267 Ricardo Troncoso Part 3 CLOSING Claudio Bunster: A Personal Recollection ................................... 289 Jorge Zanelli Profile of Claudio Bunster .................................................... 295 Index ................................................................................ 303