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

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.

40 pages, uses harvmac.tex

References in corpus (5)

• Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory
• One-Instanton Calculations in $N=2$ Supersymmetric $SU(N_c)$ Yang-Mills Theory
• Multi-Instanton Check of the Relation Between the Prepotential F and the Modulus u in N=2 SUSY Yang-Mills Theory
• Instanton Calculus and Nonperturbative Relations in N=2 Supersymmetric Gauge Theories
• A Two-Instanton Test of the Exact Solution of N=2 Supersymmetric QCD

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