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

Abstract

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.

54 pages, uses harvmac.tex. This re-posted version contains a more complete introduction to the ADHM construction of multi-instantons

References in corpus (3)

• The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups
• On the Quantum Moduli Space of N=2 Supersymmetric Gauge Theories
• One-Instanton Calculations in $N=2$ Supersymmetric $SU(N_c)$ Yang-Mills Theory

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