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arXiv · hep-th/9607202

Multi-Instanton Calculus in N=2 Supersymmetric Gauge Theory II: Coupling to Matter

N. Dorey·V. V. Khoze·M. Mattis
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Abstract

We further discuss the N=2 superinstantons in SU(2) gauge theory, obtained from the general self-dual solutions of topological charge n constructed by Atiyah, Drinfeld, Hitchin and Manin (ADHM). We realize the N=2 supersymmetry algebra as actions on the superinstanton moduli. This allows us to recast in concise superfield notation our previously obtained expression for the exact classical interaction between n ADHM superinstantons mediated by the adjoint Higgs bosons, and moreover, to incorporate N_F flavors of hypermultiplets. We perform explicit 1- and 2-instanton checks of the Seiberg-Witten prepotentials for all N_F and arbitrary hypermultiplet masses. Our results for the low-energy couplings are all in precise agreement with the predictions of Seiberg and Witten except for N_F=4, where we find a finite renormalization of the coupling which is absent in the proposed solution.

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N. Dorey, V. V. Khoze, M. Mattis. 1996-07-26. Multi-Instanton Calculus in N=2 Supersymmetric Gauge Theory II: Coupling to Matter. https://doi.org/10.1103/physrevd.54.7832

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