I The Supersymmetry Algebra and its Representation of Fields.- Sect. 1 The supersymmetry algebra, superspace, superfields.- Sect. 2 The superconformai algebra.- II Specific Models in the Tree Approximation.- Sect. 3 Chiral models.- Sect. 4 Abelian gauge models.- Sect. 5 Non-abelian gauge models.- Sect. 6 Supercurrents.- III Perturbation Theory in Superspace.- Sect. 7 A simple example.- Sect. 8 Feynman rules and power counting.- Sect. 9 The subtraction scheme.- Sect. 10 Normal products.- Sect. 11 The action principle.- Sect. 12 Symmetric operators.- IV Renormalization: Hard Anomalies.- Sect. 13 Rigid symmetries.- Sect. 14 Abelian gauge invariance.- Sect. 15 Non-Abelian gauge invariance.- Sect. 16 Renormalized Supercurrents.- V Renormalization: Soft Anomalies.- Sect. 17 Mass generation-the O'Raifeartaigh model.- Sect. 18 The off-shell infrared problem in SYM.- Appendix A Notations, conventions and useful formulae.- Appendix B Generating functionals.- Appendix D Symmetric insertions and differential operators.- Appendix E Solution of some superfield constraints.- References.
