Effective actions in ${\cal N}$=1, D5 supersymmetric gauge theories: harmonic superspace approach

TL;DR

This paper develops a harmonic superspace approach to compute the one-loop effective action in 5D ${ m f N}=1$ super Yang-Mills and super Chern-Simons theories, revealing the leading low-energy quantum correction.

Contribution

It introduces a manifestly supersymmetric and gauge invariant method for calculating effective actions in 5D ${ m f N}=1$ supersymmetric gauge theories using harmonic superspace.

Findings

Computed the $F^4$ invariant in 5D superfield form.

Derived the leading low-energy quantum correction to the effective action.

Established a new approach for off-shell formulations in 5D supersymmetric theories.

Abstract

We consider the off-shell formulation of the 5D, $ {\cal N}$=1 super Yang-Mills and super Chern-Simons theories in harmonic superspace. Using such a formulation we develop a manifestly supersymmetric and gauge invariant approach to constructing the one-loop effective action both in super Yang-Mills and super Chern-Simons models. On the base of this approach we compute the leading low-energy quantum contribution to the effective action on the Abelian vector multiplet background. This contribution corresponds to $F^4$ invariant which is given in 5D superfield form.