Simple Calculation of Instanton Corrections in Massive N=2 SU(3) SYM

TL;DR

This paper derives Picard-Fuchs equations for N=2 SU(3) SYM with massive hypermultiplets and calculates instanton corrections to the prepotential, providing a method applicable to other gauge groups.

Contribution

It explicitly derives Picard-Fuchs equations and computes instanton corrections in N=2 SU(3) SYM with massive matter, extending techniques to other gauge groups.

Findings

Derived Picard-Fuchs equations for the theory.

Calculated instanton corrections to the prepotential.

Method applicable to other gauge groups.

Abstract

We give an explicit derivation of the Picard-Fuchs equations for N=2 supersymmetric SU(3) Yang-Mills theory with $N_f<6$ massive hypermultiplets in the fundamental representation. We determine the instanton corrections to the prepotential in the weak coupling region using the relation between $\tr<\phi^2>$ and the prepotential. This method can be generalized to other gauge groups.