Gap Condition and Self-Dualized ${\cal N}=4$ Super Yang-Mills Theory for ADE Gauge Group on K3

TL;DR

This paper derives the partition function of ${ m N}=4$ super Yang-Mills theory with ADE gauge groups on K3 surfaces, ensuring it satisfies the gap condition through self-dualization of previous results.

Contribution

It introduces a self-dualization method to obtain a partition function satisfying the gap condition for ADE gauge groups on K3.

Findings

Partition function satisfies the gap condition.

Self-dualization successfully extends previous ADE partition functions.

Provides a consistent framework for ${ m N}=4$ SYM on K3.

Abstract

We try to determine the partition function of ${\cal N}=4$ super Yang-Mills theoy for ADE gauge group on K3 by self-dualizing our previous ADE partition function. The resulting partition function satisfies gap condition.