On Instanton Calculations of N=2 Supersymmetric Yang-Mills Theory

TL;DR

This paper demonstrates how instanton calculations in N=2 supersymmetric Yang-Mills theory can be understood through twisted topological field theory, revealing properties like one-loop perturbative corrections termination and fermionic-bosonic norm cancellations.

Contribution

It provides a novel perspective on instanton calculations by connecting them with twisted topological field theory, simplifying the path integral to a finite-dimensional supersymmetric moduli space.

Findings

Perturbative corrections terminate at one-loop.

Norm cancellations occur between bosonic and fermionic excitations.

Path integrals reduce to finite-dimensional integrals over moduli space.

Abstract

Instanton calculations are demonstrated from a viewpoint of twisted topological field theory. Various properties become manifest such that perturbative corrections are terminated at one-loop, and norm cancellations occur between bosonic and fermionic excitations in any instanton background. We can easily observe that for a suitable choice of Green functions the infinite dimensional path integration reduces to a finite dimensional integration over a supersymmetric instanton moduli space.