Quantum calculation of the low-energy effective action in $5D$, ${\cal N}=2$ SYM theory

TL;DR

This paper computes the leading low-energy quantum corrections to the effective action in 5D, N=2 supersymmetric Yang-Mills theory using harmonic superspace, confirming previous symmetry-based results.

Contribution

It provides the first explicit one-loop quantum calculation of the low-energy effective action in 5D, N=2 SYM within harmonic superspace, validating earlier symmetry-derived expressions.

Findings

Quantum calculation matches previous symmetry-based effective action.

Leading low-energy contribution computed explicitly.

Uses background superfield method in harmonic superspace.

Abstract

We consider $5D$, ${\cal N}=2$ supersymmetric Yang-Mills (SYM) theory in $5D$, ${\cal N}=1$ harmonic superspace as a theory of the interacting adjoint $5D$, ${\cal N}=1$ gauge multiplet and hypermultiplet. Using the background superfield method, we compute the leading low-energy contribution to the one-loop effective action. The result of quantum calculations precisely matches the effective action derived earlier in {\tt arXiv:1812.07206} on the pure symmetry grounds.