Periods and Prepotential of N=2 Supersymmetric E_6 Yang-Mills Theory

TL;DR

This paper computes the periods and one-instanton coefficient for N=2 supersymmetric E_6 Yang-Mills theory using spectral curves, confirming results with microscopic calculations.

Contribution

It provides the first detailed calculation of periods and instanton effects for E_6 gauge group in N=2 supersymmetric Yang-Mills theory.

Findings

Calculated periods for E_6 gauge group.

Derived one-instanton coefficient matching microscopic results.

Validated spectral curve approach for exceptional groups.

Abstract

We obtain the periods and one-instanton coefficient of the N=2 superrsymmetric Yang-Mills theory with the exceptional gauge group E_6. These calculations are based on the E_6 spectral curve and the obtained one-instanton coefficient is in agreement with the microscopic results.