NOTATION 24 HISTORICAL INTRODUCTION 24.1 Unconventional Symmetries and 'No-Go' Theorems 24.2 The Birth of Supersymmetry Appendix A S U(6) Symmetry of Non-Relativistic Quark Models Appendix B The Coleman-Mandula Theorem Problems References 25 SUPERSYMMETRY ALGEBRAS 25.1 Graded Lie Algebras and Graded Parameters 25.2 Supersymmetry Algebras 25.3 Space Inversion Properties of Supersymmetry Generators 25.4 Massless Particle Supermultiplets 25.5 Massive Particle Supermuitiplets Problems References 26 SUPERSYMMETRIC FIELD THEORIES 26.1 Direct Construction of Field Supermultiplets 26.2 General Superfields 26.3 Chiral and Linear Superfields 26.4 Renormalizable Theories of Chiral Superfields …… 27 SUPERSYMMETRIC GAUGE THEORIES 28 SUPERSYMMETRIC VERSIONS OF THE STANDARD MODEL 29 BEYOND PERTURBATION THEORY 30 SUPERGRAPHS 31 SUPERGRAVITY 32 SUPERSYMMETRY ALGEBRAS IN HIGHER DIMENSIONS AUTHOR INDEX SUBJECT INDEX