Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity

In life and work, Claudio Bunster (formerly Teitelboim) prefers extreme challenges. Bunster, a physicist who contemplates brain-warping theories of space and time, returned to his native Chile from the United States precisely when most intellectuals would

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Marc Henneaux Editors

· Jorge Zanelli

Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity Claudio Bunster Festschrift

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Marc Henneaux Université Libre de Bruxelles Service Physique théorique et mathématique 1050 Bruxelles Campus de la Plaine Belgium [email protected] [email protected]

ISBN: 978-0-387-87498-2 DOI: 10.1007/978-0-387-87499-9

Jorge Zanelli Centro de Estudios Cientificos Valdivia, Chile [email protected]

e-ISBN: 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 .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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

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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 . . . . . . .