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Introduction to Rigid Supersymmetry

Gianluca Grignani - Università di Perugia

Luca Griguolo - Università di Parma

 
  The course will focus on the superspace formulation of rigid supersymmetry
  The plan of the course is (time permitting):
 
    Part I - The formalism and the supersymmetric Lagrangians
  • Why supersymmetry. The supersymmetry algebra
  • Representation of the supersymmetry algebra
  • Supersymmetric actions, the Wess Zumino model. Superspace and superfields.
  • Chiral superfields, the Wess Zumino and non linear sigma models. Non-renormalization theorems.
  • Vector superfields and gauge invariant supersymmetric actions.
    1. Part II - Quantum N=1 supersymmetric gauge theories
  • Non-renormalization theorems for supersymmetric gauge theories.
  • Exact results for supersymmetric Yang-Mills theory.
  • The classical vacuum structure of supersymmetric QCD.
  • Quantum superQCD for N_F<N_c: ADS superpotential and vacuum structure.
  • Quantum superQCD for N_F>N_c: superconformal invariance and Seiberg duality.
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      Bibliography:
     
      J. Wess and J. Bugger, Supersymmetry and Supergravity, Princeton University Press
      J. Ternig, Modern Supersymmetry, Oxford University Press
      K. Intriligator and N. Seiberg, Lectures on supersymmetric gauge theories and electric - magnetic duality, arXiv:hep-th/9509066
      D. Seminara, Lecture notes LACES 2008