Nonperturbative Recursion Relations in N=2 Supersymmetric Gauge Theories

Details Nonperturbative Recursion Relations in N=2 Supersymmetric Gauge Theories Nonperturbative Recursion Relations in N=2 Supersymmetric Gauge Theories

2001-06-05

arxiv.org/abs/hep-th/0106045v1

Physics

High Energy Physics

High Energy Physics - Theory

57 pages, PhD thesis, LaTex using UCLAPhD.sty

Scientific paper

Linear recursion relations for the instanton corrections to the effective prepotential are derived for two cases of N=2 supersymmetric gauge theories; the first case with an arbitrary number of hypermultiplets in the fundamental representation of an arbitrary classical gauge group, and the second case with one hypermultiplet in the adjoint representation of SU(N). The construction for both cases proceed from the Seiberg-Witten solutions and the renormalization group type equations for the prepotential. Successive iterations of these recursion relations allow us to simply obtain instanton corrections to an arbitrarily high order. Checks with previous results in the literature were performed. Other theoretical properties and generalizations are also discussed.

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