$N=2$ Supersymmetric Integrable Models and Topological Field Theories

Abstract

These lectures review some of the basic properties of $N=2$ superconformal field theories and the corresponding topological field theories. One of my basic aims is to show how the techniques of topological field theory can be used to compute effective \LG potentials for perturbed $N=2$ superconformal field theories. In particular, I will briefly discuss the application of these ideas to $N=2$ supersymmetric quantum integrable models. (Lectures given at the Summer School on High Energy Physics and Cosmology, Trieste, Italy, June 15th -- July 3rd, 1992. To appear in the proceedings.)