ABCD of instantons

TL;DR

This paper provides a comprehensive solution for N=2 supersymmetric Yang-Mills theories across various classical gauge groups, deriving key low-energy effective actions and Seiberg-Witten curves without resolving instanton moduli space singularities.

Contribution

It introduces a novel method to derive the prepotential and Seiberg-Witten curves for arbitrary classical gauge groups without resolving singularities.

Findings

Derived the prepotential for SU(N), SO(N), Sp(N) gauge groups.

Obtained Seiberg-Witten curves for these theories.

Developed a technique bypassing singularity resolution in instanton moduli spaces.

Abstract

We solve N=2 supersymmetric Yang-Mills theories for arbitrary classical gauge group, i.e. SU(N), SO(N), Sp(N). In particular, we derive the prepotential of the low-energy effective theory, and the corresponding Seiberg-Witten curves. We manage to do this without resolving singularities of the compactified instanton moduli spaces.