An Introduction to Rigid Supersymmetry

Silvia Penati - University of Milano-Bicocca, Milan

1. Introduction to supersymmetry: what is supersymmetry? Why we introduce it?

2. N=1 supersymmetry: algebra and basic physical consequences.

3. Representations of N=1 algebra. Massive and massless multiplets.

4. N-extended supersymmetry: algebra and representations.

5. Explicit realization of N=1 representations in terms of fields. Construction of supersymmetric relativistic fields theories.

6. N=1 superspace, susy covariant derivatives. General properties. Susy multiplets as superfields. Invariant actions. R-symmetry.

7. Wess-Zumino model. Construction in superspace and non-renormalization theorem for the superpotential.

8. Abelian and non-abelian N=1,2,4 super Yang-Mills theories. General structure of the renormalizable and susy invariant action.

9. Renormalization properties. Non-renormalization theorems. Finiteness of N=4 SYM.

10. General structure of beta-functions for SYM theories. Asymptotic freedom. Superconformal field theories.

11. Explicit realizations of spontaneous supersymmetry breaking.

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http://www.stringwiki.org/wiki/Supersymmetry and Supergravity