SUPERCONFORMAL INVARIANTS AND EXTENDED SUPERSYMMETRY

The superconformal invariants in analytic superspace are found. Superc onformal invariance is shown to imply that the Green's functions of an alytic operators are invariant holomorphic sections of a line bundle o n a product of certain harmonic superspaces. It is argued that the cor relation functions for a class of sufficiently low dimension gauge inv ariant operators in N = 2 and N = 4 supersymmetric Yang-Mills theory c an be evaluated up to constants. (C) 1997 Published by Elsevier Scienc e B.V.