Multi-Instanton Measure from Recursion Relations in N=2 Supersymmetric Yang-Mills Theory

Abstract

By using the recursion relations found in the framework of N=2 Super Yang-Mills theory with gauge group SU(2), we reconstruct the structure of the instanton moduli space and its volume form for all winding numbers. The construction is reminiscent of the Deligne-Knudsen-Mumford compactification and uses an analogue of the Wolpert restriction phenomenon which arises in the case of moduli spaces of Riemann surfaces.