Duality in Supersymmetric Yang-Mills Theory
The course is based on M. Peskin's review
hep-th/9702094.
Abstract: These lectures provide an introduction to the
behavior of strongly-coupled supersymmetric gauge theories. After a
discussion of the effective Lagrangian in nonsupersymmetric and
supersymmetric field theories, the qualitative behavior of the
simplest illustrative models will be analyzed. These include
supersymmetric QCD for $N_f < N_c$, in which the superpotential is
generated nonperturbatively, N=2 SU(2) Yang-Mills theory (the
Seiberg-Witten model), in which the nonperturbative behavior of the
effective coupling is described geometrically, and supersymmetric QCD
for N_f large, in which the theory illustrates a non-Abelian
generalization of electric-magnetic duality.
The course will end with one lecture providing an introduction to
Instantons in Supersymmetric Yang-Mills Theory.