One-Instanton Calculations in $N=2$ Supersymmetric $SU(N_c)$ Yang-Mills Theory

TL;DR

This paper computes the one-instanton contribution to the prepotential in N=2 supersymmetric SU(N_c) Yang-Mills theory, demonstrating the use of holomorphy to simplify calculations and confirming results for N_c=3.

Contribution

It introduces a microscopic calculation method for instanton effects in N=2 supersymmetric gauge theories, confirming known solutions for specific cases.

Findings

Holomorphy simplifies instanton group integrations.

Results agree with exact solutions for N_c=3.

Provides a microscopic derivation of the one-instanton contribution.

Abstract

We calculate the one-instanton contribution to the prepotential in $N=2$ supersymmetric $SU(N_c)$ Yang-Mills theory from the microscopic viewpoint. We find that the holomorphy argument simplifies the group integrations of the instanton configurations. For $N_{c}=3$, the result agrees with the exact solution.