Solvable Models in Two-Dimensional N=2 Theories

Abstract

N=2 supersymmetric field theories in two dimensions have been extensively studied in the last few years. Many of their properties can be determined along the whole renormalization group flow, like their coupling dependence and soliton spectra. We discuss here several models which can be solved completely, when the number of superfields is taken to be large, by studying their topological-antitopological fusion equations. These models are the CPN model, sigma models on Grassmannian manifolds, and certain perturbed $N=2$ Minimal model.