Unification of the Fundamental Particle Interactions II ETTORE MAJORANA INTERNATIONAL SCIENCE SERIES Series Editor: Antonino Zichichi European Physical Society Geneva, Switzerland (PHYSICAL SCIENCES) Recent volumes in the series: Volume 5 PROBING HADRONS WITH LEPTONS Edited by Giuliano Preparata and Jean-Jacques Aubert Volume 6 ENERGY FOR THE YEAR 2000 Edited by Richard Wilson Volume 7 UNIFICATION OF THE FUNDAMENTAL PARTICLE INTERACTIONS I Edited by Sergio Ferrara, John Ellis, and Peter van Nieuwenhuizen Volume 8 CURRENT ISSUES IN QUANTUM LOGIC Edited by Enrico G. Beltrametti and Bas C. van Fraassen Volume 9 ENERGY DEMAND AND EFFICIENT USE Edited by Fernando Amman and Richard Wilson Volume 10 INTERACTING BOSE-FERMI SYSTEMS IN NUCLEI Edited by F. lachello Volume 11 THE SOLUTION OF THE INVERSE PROBLEM IN GEOPHYSICAL INTERPRETATION Edited by R. Cassinis Volume 12 NEUTRINO PHYSICS AND ASTROPHYSICS Edited by Ettore Fiorini Volume 13 UNCONVENTIONAL APPROACHES TO FUSION Edited by B. Brunelli and G. G. Leotta Volume 14 MINIATURIZATION OF HIGH-ENERGY PHYSICS DETECTORS Edited by A. Stefanini Volume 15 UNIFICATION OF THE FUNDAMENTAL PARTICLE INTERACTIONS II Edited by John Ellis and Sergio Ferrara Unification of the Fundamental Particle Interactions II Edited by John Ellis and Sergio Ferrara CERN Geneva, Zwitzerland Plenum Press • New York and london Library of Congress Cataloging in Publication Data Europhysics Study Conference on Unification of the Fundamental Particle Interactions (2nd: 1981: Erice, Italy) Unification of the fundamental particle interactions II. (Ettore Majorana international science series. Physical sciences; v. 15) "Proceedings of the Europhysics Study Conference held October 6-14, 1981, in Erice, Sicily, Italy"-P. Includes bibliographical references and index. 1. Grand unified theories (Nuclear physics)-Congresses. 2. Supersymmetry- Congresses. 3. Supergravity-Congresses. I. Ellis, John, 1946- . II. Ferrara, S. III. Title. IV. Series. QC794.6.G7E94 1983 539.7'54 82-18900 ISBN-13: 978-1-4615-9301-0 e-I SBN-13: 978-1-4615-9299-0 001: 10.1007/978-1-4615-9299-0 Proceedings of the Europhysics Study Conference held October 6-14, 1981, in Erice, Sicily, Italy © 1983 Plenum Press, New York Sottcover reprint of the hardcover 1s t edition 1983 A Division of Plenum Publishing Corporation 233 Spring Street, New York, N.Y. 10013 All rights reserved No part of this book may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, microfilming, recording, or otherwise, without written permission from the Publisher PREFACE Work on the unification of the fundamental particle interac tions has continued vigorously since the first Europhysics study Conference on this subject. At that time we emphasized the exis tence of two main approaches, one based on supersymmetry and pos sibly its local version, supergravity, and the other approach based on grand unified gauge theories. Discussion of the possible tests of these theoretical speculations included experiments on baryon decay and neutrino oscillations. In view of the uncertainties surrounding the observability of such phenomena, the early Universe was welcomed as a possible Laboratory for testing new theoretical ideas. At that time, we expressed the hope that the different gauge and super symmetry approaches would cross-fertilize each other" and it is appropriate to ask now how much of that hope has been realized. We believe there has recently been considerable theoretical rapprochement, which is amply reflected in these Proceedings. On the one hand it has been realized that many of the technical pro blems in grand unified gauge theories, such as arranging the hierarchy of different mass scales, may be alleviated using simple global supersymmetry. On the other hand there has been growing interest in the possibility that extended supergravity theories may furnish a suitable framework for the unification of all the fundamental particle interactions. Many physicists in fact now question actively whether the known "fundamental" particles are in deed elementary, or whether they are composite. The hopes and frustrations of such approaches, both within and without the super gravity framework, are also a common theme in these Proceedings. Many theories of compositeness seek to populate the "desert" of unoccupied energy scales depressingly beloved of grand unified theories. Thus they offer our experimental colleagues some relief from the rather sparse diet of tests suggested by other unified theories. Progress in verifying or refuting these predictions has been slow, with tantalizing indications emerging that baryons may indeed decay and neutrinos may indeed have masses, but with no con firmation yet of these results. It seems that many new experiments v PREFACE on these subjects will soon be operational, and our theoretical speculations confronted with reality. In the meantime, it is striking how cosmology and the very early Universe have become parts of a physicist's everyday life. Cosmological constraints on particle theories are treated very respectfully, and new attempts made to solve outstanding cosmolo gical problems by appeals to microphysics. Here again we sense more cross-fertilization since the first Europhysics Study Conference in this series. We hope that the material in this second set of Proceedings will prove useful for future developments in the unification of the fundamental particle interactions. We are optimistic that the dif ferent theoretical approaches will become more closely intertwined, and hopeful that experimental confirmation of some of these theo retical ideas may soon be provided. The preparation of these Proceedings would have been impossible without the efficient, cheerful and industrious assistance of Monica O'Halloran and Anne-Marie Perrin. We thank them very sincerely for devoting so much of their own time and energy to this volume, and hope that is it worthy of their efforts. John Ellis and Sergio Ferrara CONTENTS GUTs versus Susy GUTs 1 D.V. Nanopoulos Relations between Grand Unified and Monopole Theories 15 D.l. Olive Kaluza-Klein-Kounterterms 29 M.J. Duff and D.J. Toms Local SO (8) x SU (8) Invariance in N = 8 Supergravity and its Implication for Superunification 61 B. De Wit and H. Nicolai Recent Developments in the Group Manifold Approach 75 R. D'Auria, P. Fre and T. Regge Supercurrent and Anomalies in supersymmetrical Yang-Mills theories 137 O. Piguet Grand Unification in Extended Supergravity J. Ellis Bound State Regge Trajectories in N = 8 Supergravity M.T. Grisaru and H.J. Schnitzer New Results in Conformal Supergravity 177 B. De Wit Unitary Realizations of the Non-Compact Symmet.ry Groups of Supergravity 193 M. Giinaydin vii viii CONTENTS Towards Unification with just Fundamental Fermions 211 A.C. Davis Baryon Stability and Neutrino Oscillations 223 D.H. Perkins The Universe Strikes Back 259 G. Steigman Super symmetry in Nuclei 285 F. Iachello Axions 305 J.-H. Frere CP Violation, Cosmological Baryon Asymmetry and Neutrino Masses - the Effect of Intermediate Mass Scales 319 A. Masiero Some Aspects of Super symmetry Breaking 329 H.T. Grisaru Fermion Masses, Global Symmetries and the Strong CP Problem 337 R. Barbieri and D. Wyler Super symmetry Breaking Through a Cosmological Constant 343 J. Wess Symmetry Breaking in Supersymmetric GUTs 349 F. Buccella, J.-P. Derendinger, C.A. Savoy and S. Ferrara Quantization and Auxiliary Fields in 11 Dimensions 367 A. Van Proeyen Geometrical Constraints on Supergravity Coupling 383 K.S. Stelle On Kaluza-Klein Theories 395 J. Strathdee Gravity as a Dynamical Consequence of the Strong, Weak and Electromagnetic Interactions 403 D. Zee CONTENTS ix Unification of Gauge and Gravity Interactions from Compositeness 419 G. Veneziano Some Remarks about Quantum Gravity 437 V. De Alfaro, S. Fubini and G. Furlan From Quantum Cosmology to Quantum Gravity 451 F. Englert Minimal Hypotheses for Particle Definition in Curved Space-Time 455 M.A. Castagnino, D.D. Harari and C.A. Nunez Fermions in the Desert 467 P. Ramond The Weak Interaction as an Indirect Manifestation of Hypercolour 475 H. Fritzsch Constraints on Composite Models of Quarks and Leptons 487 R.D. Peccei Instantons in Supersymmetric Quantum Mechanics 505 J.W. van Holten Galilean Approximation of Massless Supersymmetric Theories 515 S. Ferrara and F. Palumbo INDEX 525 GUTs VERSUS SUSY GUTs D.V. Nanopoulos CERN, Geneva, Switzerland GUTs Grand unified theories (GUTs), theories that unify weak, electromagnetic and strong interactions, seem to be a major part of the physics culture nowadays, and very justifiably so. They do not simply contain the successful electroweak and strong interac tions (QCD) theories, but they lead to numerous qualitative and quantitative results, most of them impossible to be derived in the absence of grand unificationl. GUTs explain naturally the charge quantization, but, at the same time~ entail that a, the electromagnetic fine structure con stant, should be constrained t02 < < 1/170 a 1/120 (1) rather severe bounds, consistent with a ~ 1/137. GUTs demand that at some superhigh energy limit all three in teractions have more or less the same strength, or inversely, that at low energies the three interactions should have different strengths, as is observed experimentally. In such theories one finds that the electroweak mlxlng angle, (8 ), as measured at present energies, is given byl e-w sin28 (MW) ~ 0.214 ± 0.002 (2) e-w which compares most favourably with the radiatively corrected ex perimental average.