Towards harmonic superfield formulation of $N=4$, $USp(4)$ SYM theory with the central charge

TL;DR

This paper develops a superfield formulation of $ ext{N}=4$ supersymmetric Yang-Mills theory with a gauged central charge in $USp(4)$ harmonic superspace, providing a new framework that reproduces known component actions.

Contribution

It introduces the first superfield formulation of $ ext{N}=4$ $USp(4)$ SYM with central charge, extending previous component-based descriptions.

Findings

Constructed the superfield action for the theory.

Showed the superfield formulation reproduces the known component action.

Established a new harmonic superspace approach for $ ext{N}=4$ SYM with central charge.

Abstract

We develop a superfield formulation of $\mathcal{N}=4$ supersymmetric Yang-Mills theory with gauged central charge in $USp(4)$ harmonic superspace. Component formulation of this theory was given by Sohnius, Stelle and West \cite{SSW80} but its superfield formulation has not been constructed so far. We construct the superfield action, corresponding to this model, and show that it reproduces the component action from \cite{SSW80}.