One-instanton test of a Seiberg-Witten curve from M-theory: the antisymmetric representation of SU(N) Original Research Article

One-instanton predictions are obtained from the Seiberg-Witten curve derived from M-theory by Landsteiner and Lopez for the Coulomb branch of N = 2 supersymmetric SU(N) gauge theory with a matter hypermultiplet in the antisymmetric representation. Since this cubic curve describes a Riemann surface that is non-hyperelliptic, a systematic perturbation expansion about a hyperelliptic curve is developed, with a comparable expansion for the Seiberg-Witten differential. Calculation of the period integrals of the SW differential by the method of residues of DʹHoker, Krichever, and Phong enables us to compute the prepotential explicitly to one-instanton order.