
An Introduction to Rigid Supersymmetry
Silvia Penati  University of MilanoBicocca, Milan



The aim of the course is to give a selfcontained, pedagogical introduction to Rigid Supersymmetry. The course covers the following topics (syllabus in pdf format):



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. Nextended 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. Rsymmetry.
7. WessZumino model. Construction in superspace and nonrenormalization theorem for the superpotential.
8. Abelian and nonabelian N=1,2,4 super YangMills theories. General structure of the renormalizable and susy invariant action.
9. Renormalization properties. Nonrenormalization theorems. Finiteness of N=4 SYM.
10. General structure of betafunctions for SYM theories. Asymptotic freedom. Superconformal field theories.
11. Explicit realizations of spontaneous supersymmetry breaking.





Lecture notes: lecture 1, lecture 2, lecture 3, lecture 4, lecture 5, lecture 6, lecture 7, lecture 8



Videos: lecture 1, lecture 2, lecture 3, lecture 4, lecture 5, lecture 6, lecture 7, lecture 8





Bibliography
M. Sohnius, Introducing supersymmetry, Phys.Rept. 128 (1985) 39204
J. Terning, Modern Supersymmetry, Oxford Science Publications
P. Argyres, Introduction to supersymmetry.
A. Bilal, Introduction to supersymmetry, hepth/0101055
J. Gates, M. Grisaru, M. Rocek, W. Siegel, Superspace or one thousand and one lessons in supersymmetry, Benjamin Cummings
D. Freedman and A. van Proeyen, Supergravity, Cambridge University Press (first part)




A rather complete list of reviews and books can be found in:
http://www.stringwiki.org/wiki/Supersymmetry and Supergravity


