HYPERELLIPTIC CURVES FOR SUPERSYMMETRIC YANG-MILLS

In this paper we discuss the hyperelliptic curve for N = 2 SU(3) super Yang-Mills with six flavors of hypermultiplets. We start with a gener ic genus-2 surface and construct the curve in terms of genus-2 theta f unctions, From this one can construct the curve for m(i) = u = 0. This curve is explicitly dual under a subgroup of Sp(4, Z) which is not is omorphic to Sp(2, Z). We then proceed to construct the curve for the g eneral SU(3) theory and discuss the duality properties of the theory. The results given here differ from those given previously.