One-instanton predictions of Seiberg–Witten curves for product groups

One-instanton predictions for the prepotential are obtained from the Seiberg–Witten curve for the Coulomb branch of N=2 supersymmetric gauge theory for the product group ∏n=1mSU(Nn) with a massless matter hypermultiplet in the bifundamental representation (Nn,N̄n+1) of SU(Nn)×SU(Nn+1) for n=1 to m−1, together with N0 and Nm+1 matter hypermultiplets in the fundamental representations of SU(N1) and SU(Nm) respectively. The derivation uses a generalization of the systematic perturbation expansion about a hyperelliptic curve developed by us in earlier work.