Chiral Green's functions in superconformal field theory

By solving the Ward identities in a superconformal field theory we find the unique three-point Green's functions composed of chiral superfields for N = 1,2,3,4 supersymmetry. We show that the N = 1 four-point function with R- charge equal to one is uniquely determined by the Ward identities up to the specification of four constants. We discuss why chiral Green's functions a bove three-points, with total R-charge greater than N, are not uniquely det ermined. (C) 2000 Elsevier Science B.V. All rights reserved.