Essays on Supersymmetry

to our own also needs to be understood. Such unification may also require that the supersymmetry group possess irreducible representations with infinite reductiori on the Poincare subgroup, to accommodate an infinite set of particles. Such possibilities w

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MA THEMA TICAL PHYSICS STUDIES A SUPPLEMENTARY SERIES TO LETTERS IN MATHEMATICAL PHYSICS

Editors: J. C. CORTET, Universite de Dijon, France M. FLA TO, Universite de Dijon, France E. H. LIEB, Princeton University, U.S.A. W. THIRRING, Institut fur Theoretische Physik der Universitiit Wien, Austria A. TRA UTM AN, Institute of Theoretical Physics, Warsaw, Poland

Editorial Board: W. AMREIN, Institut de Physique Theorique, Geneva, Switzerland

H. ARAKI, Kyoto University, Japan M. CAHEN, Universite Libre de Bruxelles, Belgium A. CONNES, I.H.E.S., France L. FADDEEV, Steklov Institute of Mathematics, Leningrad, U.S.S.R. J. FROHLICH, E.T.H.-Honggerberg, Theoretical Physics, Zurich, Switzerland C. FRONSDAL, UCLA, Los Angeles, U.S.A. I. M. GELFAND, Moscow State University, U.S.S.R. M. GUENIN, Institut de Physique Theorique, Geneva, Switzerland A. JAFFE, Harvard University, U.S.A. A. A. KIRILLOV, Moscow State University, U.S.S.R. A. LICHNEROWICZ, College de France, France B. NAGEL, K.T.H, Stockholm, Sweden J. NIED E R L E, Institute of Physics CSA V, Prague, Czechoslovakia S. NOVIKOV, Landau Institute for Theoretical Physics, Moscow, U.S.S.R. R. RACZKA, Institut Badan Jadrowych, Warsaw, Poland A. SALAM, International Centre for Theoretical Physics, Trieste, Italy W. SCHMID, Harvard University, U.S.A. I. E. SEGAL, M.I.T., U.S.A. 1. SIMON, Universite de Dijon, France D. STERNHEIMER, College de France, France I. T. TODOROV, Institute of Nuclear Research, Sofia, Bulgaria

VOLUME 8

Essays on Supersynanaetry Edited by

C. FRONSDAL Department of Physics, UCLA, Los Angeles, U.S.A.

With contributions by

M.FLATO Professor of Mathematical Physics, Dijon University, Dijon, France

C. FRONSDAL Professor of Physics, University of California, Los Angeles, CA, U.S.A.

T. HIRAI Professor of Mathematics, University of Kyoto, Kyoto, Japan

D. Reidel Publishing Company A MEMBER OF THE KLUWER ACADEMIC

PUBLISHER~

Dordrecht / Boston / Lancaster / Tokyo

GROUP

library of Congress Cataloging in Publication Data Essays in supersymmetry. (Mathematical physics studies; v. 8) Bibliography: p. Includes index. 1. Supersymmetry. I. Fronsdal, Christian, 1931Flato, M. (Moshe), 1937III. Hirai, T. (Takeshi), 1936IV. Series QCI74.17.S9E87 1986 530.1 86-602 ISBN-13: 978-94-010-8555-7 e-ISBN-13: 978-94-009-4624-8 DOl: 10.1007/978-94-009-4624-8

II.

Published by D. Reidel Publishing Company, P.O. Box 17, 3300 AA Dordrecht, Holland Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, 190 Old Derby Street, Hingham, MA 02043, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, Holland

All Rights Reserved © 1986 by D. Reidel Publishing Company, Dordrecht, Holland Softcover reprint of the hardcover 1st edition 1986 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission