Higher order contributions to the effective action of N=2 super Yang-Mills

TL;DR

This paper computes the one-loop effective action to order F^5 in N=2 super Yang-Mills theories using heat kernel techniques in N=1 superspace, extending previous results to include matter hypermultiplets.

Contribution

It introduces a method to calculate the one-loop effective action to order F^5 for N=2 super Yang-Mills theories with matter, combining superspace techniques with previous work.

Findings

Effective action computed to order F^5 for N=2 SYM with matter.

Extended previous results to include matter hypermultiplets.

Demonstrated the use of heat kernel techniques in superspace.

Abstract

We apply heat kernel techniques in N=1 superspace to compute the one-loop effective action to order $F^5$ for chiral superfields coupled to a non-Abelian super Yang-Mills background. The results, when combined with those of hep-th/0210146, yield the one-loop effective action to order $F^5$ for any N=2 super Yang-Mills theory coupled to matter hypermultiplets.