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To define irreducible representations, spinors with dotted and undotted indices are defined. Irreducible representations of susy are defined, first in the massless case, then in the massive case, with and without central charges. The R-symmetry of the algebras is defined. The Lagrangians for the d = 4 multiplets, N = 1 chiral, N = 1 vector, their coupling and the N = 2 models, and finally the unique N = 4 model, are described.
Supersymmetry is defined in superspace, via superfields. Superspace actions are described for the chiral and vector multiplets, and the N = 2 superspace and actions are also described. Perturbative susy breaking is defined, via the Witten index, and in particular the tree-level susy breaking.
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