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

Abstract

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 Πn=1m SU(Nn) with a massless matter hypermultiplet in the bifundamental representation (Nn, Nn+1) of SU(Nn) x 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.

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