Prepotentials in N=2 Supersymmetric SU(3) YM-Theory with Massless Hypermultiplets

TL;DR

This paper calculates instanton corrections to the prepotential in N=2 supersymmetric SU(3) Yang-Mills theory with massless hypermultiplets, providing explicit results and monodromy analysis in weak coupling regions.

Contribution

It explicitly determines instanton corrections to the prepotential and constructs Picard-Fuchs equations for N_f<6, advancing understanding of the theory's non-perturbative structure.

Findings

Instanton corrections are explicitly calculated for N_f<6.

Picard-Fuchs equations are constructed for N_f<6.

Monodromies are analyzed using Picard-Lefschetz theorem.

Abstract

We explicitly determine the instanton corrections to the prepotential for N=2 supersymmetric SU(3) Yang-Mills theory with massless hypermultiplets in the weak coupling regions $u\to\infty$ and $v\to\infty$. We construct the Picard-Fuchs equations for $N_f<6$ and calculate the monodromies using Picard-Lefschetz theorem for $N_f=2,4$. For all $N_f<6$ the instanton corrections to the prepotential are determined using the relation between $Tr <\phi^2>$ and the prepotential.