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

TL;DR

This paper develops a recursive method to compute the instanton measure in N=2 SU(2) Super Yang-Mills theory, revealing the structure of the instanton moduli space and its volume form for all winding numbers.

Contribution

It introduces a novel recursive approach to reconstruct the instanton moduli space and volume form, inspired by techniques from algebraic geometry and moduli space compactification.

Findings

Reconstruction of instanton moduli space structure for all winding numbers

Development of a recursive method for instanton measure calculation

Connection to geometric structures like Deligne-Knudsen-Mumford compactification

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.