N = 2 superconformal models and their free field realization

Abstract

We discuss whether the N = 2 superconformal coset models can be described in terms of free fields by bosonizing directly the currents in the coset models. For this purpose, we develop the N = 2 superfield formalism for the N = 2 supercoset models. It is shown that this N = 2 superfield formulation naturally leads to a simple free field realization (or bosonization) of the supersymmetrized parafermionic models SU(2)/U(1) (the N = 2 minimal models) and SU(3)/U(1) 2. We also discuss various relations between the bosonized forms of the currents in coset models.