On the Picard-Fuchs Equations of N=2 Supersymmetric E_6 Yang-Mills Theory

TL;DR

This paper derives the Picard-Fuchs equations for N=2 supersymmetric Yang-Mills theory with the exceptional E_6 gauge group, utilizing the spectral curve associated with E_6.

Contribution

It provides the first explicit derivation of Picard-Fuchs equations for E_6 gauge group in N=2 supersymmetric Yang-Mills theory based on the spectral curve.

Findings

Derived Picard-Fuchs equations for E_6 gauge group

Connected spectral curve to differential equations

Enhanced understanding of moduli space structure

Abstract

We obtain the Picard-Fuchs equations of N=2 supersymmetric Yang-Mills theory with the exceptional gauge group E_6. Such equations are based on E_6 spectral curve.