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

Abstract

For $6D$, $\mathcal{N}=(1,1)$ SYM theory formulated in $\mathcal{N}=(1,0)$ harmonic superspace as a theory of interacting gauge multiplet and hypermultiplet we construct the $\mathcal{N}=(1,1)$ 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.

1+17 pages; v2: minor corrections, references added