N=2 superconformal-invariant theories are studied and their general structure is analyzed. The geometry of N=2 complex superspace is developed as a tool to study the correlation functions of the theories above. The Ward identities of the global N=2 superconformal symmetry are solved, to restrict the form of correlation functions. Advantage is taken of the existence of the degenerate operators to derive the ‘‘fusion’’ rules for the unitary minimal systems with c̃<1. In particular, the closure of the operator algebra for such systems is shown. The c̃=(1/3 minimal system is analyzed and its two-, three-, and four-point functions as well as its operator algebra are calculated explicitly.

• Received 22 June 1987

DOI:https://doi.org/10.1103/PhysRevD.36.3048