A Two-Instanton Test of the Exact Solution of N=2 Supersymmetric QCD

Abstract

The exact solution of N=2 supersymmetric QCD found by Seiberg and Witten includes a prediction for all multi-instanton contributions to the low-energy dynamics. In the case where the matter hypermultiplets are massless, the leading non-perturbative contribution at weak coupling comes from the two-instanton sector. We calculate this contribution from first principles using the exact two-instanton solution of the self-dual Yang-Mills equation found by Atiyah, Drinfeld, Hitchin and Manin. We find exact agreement with the predictions of Seiberg and Witten for all numbers of flavours. We also confirm their predictions for the case of massive hypermultiplets.

LaTeX file, 14 pages, no figures

References in corpus (3)

• Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory
• Multi-Instanton Calculus in N=2 Supersymmetric Gauge Theory II: Coupling to Matter
• Picard-Fuchs Equations and Prepotentials in $N=2$ Supersymmetric QCD

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• Instanton Calculus and SUSY Gauge Theories on ALE Manifolds
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• Direct Derivation of Scaling Relation of Prepotential in N=2 Supersymmetric G_2 Yang-Mills Theory
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• Nonperturbative Recursion Relations in N=2 Supersymmetric Gauge Theories