Deriving exact prepotential for $N = 2$ supersymmetric Yang-Mills theories from superconformal anomaly with rank two gauge groups

TL;DR

This paper derives the exact prepotential for N=2 supersymmetric Yang-Mills theories with rank two gauge groups using superconformal anomaly, providing a method applicable to various gauge groups.

Contribution

It introduces a novel derivation of the exact prepotential from superconformal anomalies for rank two gauge groups, extending previous approaches.

Findings

Derived explicit prepotentials for SU(2) and SU(3) gauge groups.

Generalized the derivation to any rank two gauge group.

Connected superconformal anomalies with the prepotential structure.

Abstract

The exact prepotential for $N = 2$ supersymmetric Yang-Mills theory is derived from the superconformal anomalous Ward identity for the gauge group SU(2) and SU(3) which can be generalized to any other rank two gauge group.