SUPERSYMMETRY AND SUPERGRAVITY

CONTENTS

PREFACE TO THE SECOND EDITION

PREFACE

I. WHY SUPERSYMMETRY?

II. REPRESENTATIONS OF THE SUPERSYMMETRY ALGEBRA

III. COMPONENT FIELDS

IV. SUPERFIELDS

V. CHIRAL SUPERFIELDS

VI. VECTOR SUPERFIELDS

VII. GAUGE INVARIANT INTERACTIONS

VIII. SPONTANEOUS SYMMETRY BREAKING

IX. SUPERFIELD PROPAGATORS

X. FEYNMAN RULES FOR SUPERGRAPHS

XI. NONLINEAR REALIZATIONS

XII. DIFFERENTIAL FORMS IN SUPERSPACE

XIII. GAUGE THEORIES REVISITED

XIV. VIELBEIN, TORSION, AND CURVATURE

XV. BIANCHI IDENTITIES

XVI. SUPERGAUGE TRANSFORMATIONS

XVII. THE θ= 0 COMPONENTS OF THE VIELBEIN, CONNECTION, TORSION, AND CURVATURE

XVIII. THE SUPERGRAVITY MULTIPLET

XIX. CHIRAL AND VECTOR SUPERFIELDS IN CURVED SPACE

XX. NEW 0 VARIABLES AND THE CHIRAL DENSITY

XXI. THE MINIMAL CHIRAL SUPERGRAVITY MODEL

XXII. CHIRAL MODELS AND KAHLER GEOMETRY

XXIII. GENERAL CHIRAL SUPERGRAVITY MODELS

XXIV. GAUGE INVARIANT MODELS

XXV. GAUGE INVARIANT SUPERGRAVITY MODELS

XXVI. LOW-ENERGY THEOREMS

APPENDIX A: Notation and Spinor Algebra

APPENDIX B: Results in Spinor Algebra

APPENDIX C: Kahler Geometry

APPENDIX D: Isometries and Kahler Geometry

APPENDIX E: Nonlinear Realizations

APPENDIX F: Nonlinear Realizations and Invariant Actions

APPENDIX G: Gauge Invariant Supergravity Models