THE REFINED ELLIPTIC GENUS AND COULOMB GAS FORMULATIONS OF N=2 SUPERCONFORMAL COSET MODELS

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