Prepotentials in N=2 Supersymmetric SU(3) YM-Theory with Massless Hypermultiplets

Holger Ewen; Kristin Foerger; Stefan Theisen

doi:10.1016/S0550-3213(96)00607-4

paper

Prepotentials in N=2 Supersymmetric SU(3) YM-Theory with Massless Hypermultiplets

arXiv:hep-th/9609062 · doi:10.1016/S0550-3213(96)00607-4

Abstract

We explicitly determine the instanton corrections to the prepotential for N=2 supersymmetric SU(3) Yang-Mills theory with massless hypermultiplets in the weak coupling regions $u \to \infty$ and $v \to \infty$ . We construct the Picard-Fuchs equations for $N_{f} < 6$ and calculate the monodromies using Picard-Lefschetz theorem for $N_{f} = 2, 4$ . For all $N_{f} < 6$ the instanton corrections to the prepotential are determined using the relation between $T r < ϕ^{2} >$ and the prepotential.

20 pages, Latex