Introduction to Supergravity

This book is a pedagogical introduction to supergravity, a gravitational field theory that includes supersymmetry (symmetry between bosons and fermions) and is a generalization of Einstein's general relativity. Supergravity provides a low-energy effective

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Yoshiaki Tanii

Introduction to Supergravity

SpringerBriefs in Mathematical Physics Volume 1

Series editors Nathanaël Berestycki, Cambridge, UK Mihalis Dafermos, Cambridge, UK Tohru Eguchi, Tokyo, Japan Atsuo Kuniba, Tokyo, Japan Matilde Marcolli, Pasadena, USA Bruno Nachtergaele, Davis, USA

For further volumes: http://www.springer.com/series/11953

Yoshiaki Tanii

Introduction to Supergravity

123

Yoshiaki Tanii Graduate School of Science and Engineering Saitama University Saitama Japan

ISSN 2197-1757 ISSN 2197-1765 (electronic) ISBN 978-4-431-54827-0 ISBN 978-4-431-54828-7 (eBook) DOI 10.1007/978-4-431-54828-7 Springer Tokyo Heidelberg New York Dordrecht London Library of Congress Control Number: 2014940707  The Author(s) 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Preface

This book is a pedagogical introduction to supergravity. Supergravity is a gravitational field theory that includes supersymmetry (symmetry between bosons and fermions) and is a generalization of Einstein’s general relativity. Supergravity provides a low energy effective theory of superstring theory, which has attracted much attention as a candidate for the unified theory of fundamental particles, and it is a useful tool for studying nonperturbative properties of superstring