Supersymmetry in Mathematics and Physics UCLA Los Angeles, USA 2010

Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and mathema

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2027



Sergio Ferrara



Rita Fioresi



V.S. Varadarajan

Editors

Supersymmetry in Mathematics and Physics UCLA Los Angeles, USA 2010

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Editors Sergio Ferrara CERN D´ept. Physique Div. Th´eorie 1211 Gen`eve Switzerland [email protected]

Rita Fioresi University of Bologna Department of Mathematics Piazza Porta San Donato 5 40126 Bologna Italy [email protected]

V.S. Varadarajan UCLA Department of Mathematics 520 Portola Plaza Los Angeles, CA 90095-1555 USA [email protected]

ISBN 978-3-642-21743-2 e-ISBN 978-3-642-21744-9 DOI 10.1007/978-3-642-21744-9 Springer Heidelberg Dordrecht London New York Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2011934804 Mathematics Subject Classification (2010): 81-XX; 58A50; 14A22; 14M30; 32C11 c Springer-Verlag Berlin Heidelberg 2011  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: deblik, Berlin Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Preface

The articles in this collection have grown out of the talks given at a 2-day workshop on supersymmetry held at UCLA in February 2010. The main theme of the Conference was supersymmetry in mathematics and physics. More precisely, the talks at the conference were dedicated to supersymmetry as a connecting theme between geometry, group theory, and fundamental physics. In addition to the speakers there were a few posters displayed in a poster session whose contents are also presented here. In an introduction to this volume a brief survey of supersymmetry and its many applications as developed in the articles of this volume is given. So we limit ourselves to thanking the various people and organizations that have helped us and made the workshop and this volume possible. First and foremost we thank the Department of Mathematics at UCLA for providing all kinds of help and support, organizational, technical, and personal, for the conference. To Chair Professor Sorin Popa and Chief administrative person Judith Levin goes our gratitude. We would like to thank Babette Dalton who took care of all the details of the conference; witho