Home Registration Contacts Participants Lectures Videos Schedule

An Introduction to Rigid Supersymmetry

Silvia Penati - University of Milano-Bicocca, Milan

  The aim of the course is to give a self-contained, 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. 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.
  Lecture notes:
lecture 1lecture 2lecture 3lecture 4lecture 5lecture 6lecture 7lecture 8
lecture 1lecture 2lecture 3lecture 4lecture 5lecture 6lecture 7lecture 8
    M. Sohnius, Introducing supersymmetry, Phys.Rept. 128 (1985) 39-204
    J. Terning, Modern Supersymmetry, Oxford Science Publications
    P. Argyres, Introduction to supersymmetry.
    A. Bilal, Introduction to supersymmetry, hep-th/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