MULTIINSTANTON CHECK OF THE RELATION BETWEEN THE PREPOTENTIAL-F AND THE MODULUS-U IN N=2 SUSY YANG-MILLS THEORY

By examining multi-instantons in N = 2 supersymmetric SU(2) gauge theo ry, we derive, on very general grounds, and to all orders in the insta nton number, a relationship between the prepotential F(Phi), and the c oordinate on the quantum moduli space u = (Tr Phi(2)). This relation w as previously obtained by Matone in the context of the explicit Seiber g-Witten low-energy solution of the model. Our findings can be viewed as a multi-instanton check of the proposed exact results in supersymme tric gauge theory.