24 HISTORICAL INTRODUCTION 1
24.1 Unconventional Symmetries and'No-Go'Theorems 1
24.2 The Birth of Supersymmetry 4
Appendix A SU(6)Symmetry of Non-Relativistic Quark Models 8
Appendix B The Coleman-Mandula Theorem 12
Problems 22
References 22
25 SUPERSYMMETRY ALGEBRAS 25
25.1 Graded Lie Algebras and Graded Parameters 25
25.2 Supersymmetry Algebras 29
25.3 Space Inversion Properties of Supersymmetry Generators 40
25.4 Massless Particle Supermultiplets 43
25.5 Massive Particle Supermultiplets 48
Problems 53
References 54
26 SUPERSYMMETRIC FIELD THEORIES 55
26.1 Direct Construction of Field Supermultiplets 55
26.2 General Superfields 59
26.3 Chiral and Linear Superfields 68
26.4 Renormalizable Theories of Chiral Superfields 75
26.5 Spontaneous Supersymmetry Breaking in the Tree Approximation 83
26.6 Superspace Integrals,Field Equations,and the Current Superfield 86
26.7 The Supercurrent 90
26.8 General Kahler Potentials 102
Appendix Majorana Spinors 107
Problems 111
References 112
27 SUPERSYMMETRIC GAUGE THEORIES 113
27.1 Gauge-Invariant Actions for Chiral Superfields 113
27.2 Gauge-Invariant Action for Abelian Gauge Superfields 122
27.3 Gauge-Invariant Action for General Gauge Superfields 127
27.4 Renormalizable Gauge Theories with Chiral Superfields 132
27.5 Supersymmetry Breaking in the Tree Approximation Resumed 144
27.6 Perturbative Non-Renormalization Theorems 148
27.7 Soft Supersymmetry Breaking 155
27.8 Another Approach:Gauge-Invariant Supersymmetry Transformations 157
27.9 Gauge Theories with Extended Supersymmetry 160
Problems 175
References 176
28 SUPERSYMMETRIC VERSIONS OF THE STANDARD MODEL 179
28.1 Superfields,Anomalies,and Conservation Laws 180
28.2 Supersymmetry and Strong-Electroweak Unification 188
28.3 Where is Supersymmetry Broken? 192
28.4 The Minimal Supersymmetric Standard Model 198
28.5 The Sector of Zero Baryon and Lepton Number 209
28.6 Gauge Mediation of Supersymmetry Breaking 220
28.7 Baryon and Lepton Non-Conservation 235
Problems 240
References 241
29 BEYOND PERTURBATION THEORY 248
29.1 General Aspects of Supersymmetry Breaking 248
29.2 Supersymmetry Current Sum Rules 256
29.3 Non-Perturbative Corrections to the Superpotential 266
29.4 Supersymmetry Breaking in Gauge Theories 276
29.5 The Seiberg-Witten Solution 287
Problems 305
References 305
30 SUPERGRAPHS 307
30.1 Potential Superfields 308
30.2 Superpropagators 310
30.3 Calculations with Supergraphs 313
Problems 316
References 316
31 SUPERGRAVITY 318
31.1 The Metric Superfield 319
31.2 The Gravitational Action 326
31.3 The Gravitino 333
31.4 Anomaly-Mediated Supersymmetry Breaking 337
31.5 Local Supersymmetry Transformations 341
31.6 Supergravity to All Orders 343
31.7 Gravity-Mediated Supersymmetry Breaking 355
Appendix The Vierbein Formalism 375
Problems 378
References 379
32 SUPERSYMMETRY ALGEBRAS IN HIGHER DIMENSIONS 382
32.1 General Supersymmetry Algebras 382
32.2 Massless Multiplets 393
32.3 p-Branes 397
Appendix Spinors in Higher Dimensions 401
Problems 407
References 407
AUTHOR INDEX 411
SUBJECT INDEX 416