Fine structure of the supersymmetric operator product expansion algebras

Abstract

A detailed discussion of the Ramond sector of the superconformal minimal models (m.m.) in terms of the Coulomb gas representation is given. The basic elements of this construction, vertices and screening operators, are written in terms of the critical Ising variables (order-disorder parameter fields, free Majorana fermion) and of a free dimensionless field. The fusion rules in all the sectors of the superconformal m.m. and the explicit expression for the structure constants of the operator product expansion are obtained. The Ramond fields are used to describe the Z2 odd sector of the tricritical Ising model and the critical Ashkin-Teller model.