Simple Derivation of the Picard-Fuchs equations for the Seiberg-Witten Models

TL;DR

This paper derives explicit Picard-Fuchs equations for N=2 supersymmetric Yang-Mills theories with massless hypermultiplets, applicable to classical Lie gauge groups with any number of fundamental matter, maintaining asymptotic freedom.

Contribution

It provides a closed-form derivation of Picard-Fuchs equations for these theories, extending previous results to include arbitrary numbers of fundamental matter.

Findings

Explicit Picard-Fuchs equations derived for classical Lie groups

Applicable to any number of massless fundamental hypermultiplets

Maintains asymptotic freedom in the models

Abstract

A closed form of the Picard-Fuchs equations for N=2 supersymmetric Yang-Mills theories with massless hypermultiplet are obtained for classical Lie gauge groups. We consider any number of massless matter in fundamental representation so as to keep the theory asymptotically free.