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

TL;DR

This paper reviews the properties of N=2 superconformal and topological field theories, demonstrating how topological techniques can compute effective potentials and exploring their application to supersymmetric quantum integrable models.

Contribution

It introduces methods to compute effective Landau-Ginzburg potentials using topological field theory techniques in the context of N=2 superconformal theories and discusses their relevance to integrable models.

Findings

Topological field theory techniques effectively compute LG potentials.

Application to N=2 supersymmetric quantum integrable models.

Insights into the structure of N=2 superconformal 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.)