Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory

M.P. Mattis (Los Alamos); N. Dorey (Swansea); V.V. Khoze (Durham)

Multi-Instanton Calculus in $N=2$ Supersymmetric Gauge Theory

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arxiv hep-th/9603136 v2 pith:EFUW2JBW submitted 1996-03-20 hep-th hep-ph

N. Dorey (Swansea) , V.V. Khoze (Durham) , M.P. Mattis (Los Alamos) This is my paper · ORCID

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The Seiberg-Witten solution of N=2 supersymmetric SU(2) gauge theory may be viewed as a prediction for the infinite family of constants F_n measuring the n-instanton contribution to the prepotential F. Here we examine the instanton physics directly, in particular the contribution of the general self-dual solution of topological charge n constructed by Atiyah, Drinfeld, Hitchin and Manin (ADHM). In both the bosonic and supersymmetric cases, we determine both the large- and short-distance behavior of all the fields in this background. This allows us to construct the exact classical interaction between n ADHM (super-)instantons mediated by the adjoint Higgs. We calculate the one- and two-instanton contributions to the low-energy Seiberg-Witten effective action, and find precise agreement with their predicted values of F_1 and F_2.

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