Low-energy $6D$, ${\cal N}=(1,1)$ SYM effective action beyond the leading approximation

TL;DR

This paper constructs a supersymmetric effective action for 6D, N=(1,1) SYM theory beyond the leading order, capturing all powers of the abelian field strength in a supersymmetric framework.

Contribution

It develops the first supersymmetric Heisenberg-Euler-type effective action for 6D, N=(1,1) SYM theory in harmonic superspace, extending previous approximations.

Findings

Effective action includes all powers of the abelian field strength.

Constructed in harmonic superspace for on-shell background fields.

Supersymmetric extension beyond leading approximation.

Abstract

For $6D$, ${\cal N}=(1,1)$ SYM theory formulated in ${\cal N}=(1,0)$ harmonic superspace as a theory of interacting gauge multiplet and hypermultiplet we construct the ${\cal N}=(1,1)$ supersymmetric Heisenberg-Euler-type superfield effective action. The effective action is computed for the slowly varying on-shell background fields and involves, in the bosonic sector, all powers of a constant abelian strength.