2001/06/05 by Gordon Chan, Chan, Gordon
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0106045
57 pages, PhD thesis, LaTex using UCLAPhD.sty
arxiv created 2001/06/05 · openalex publication_date 2001/06/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.