The refined elliptic genus and Coulomb gas formulations of N = 2 superconformal coset models

Abstract We describe, in some detail, a number of different Coulomb gas formulations of N = 2 superconformal coset models. We also give the mappings between these formulations. The ultimate purpose of this is to show how the Landau-Ginzburg structure of these models can be used to extract the W-generators, and to show how the computation of the elliptic genus can be refined so as to extract very detailed information about the characters of component parts of the model.