Three-dimensional N=4 supersymmetry in harmonic N=3 superspace

TL;DR

This paper explores the formulation of three-dimensional N=4 supersymmetry within harmonic N=3 superspace, constructing superconformal representations and analyzing invariance in gauge theories.

Contribution

It introduces a new mapping of N=4 superfields to N=3 harmonic superspace and constructs superconformal representations relevant for gauge and hypermultiplet couplings.

Findings

Constructed N=4 superconformal representations on N=3 harmonic superspace.

Analyzed N=4 invariance in non-Abelian N=3 Yang-Mills theory.

Provided a framework for describing N=4 superconformal couplings.

Abstract

We consider the map of three-dimensional N=4 superfields to N=3 harmonic superspace. The left and right representations of the N=4 superconformal group are constructed on N=3 analytic superfields. These representations are convenient for the description of N=4 superconformal couplings of the Abelian gauge superfields with hypermultiplets. We analyze the N=4 invariance in the non-Abelian N=3 Yang-Mills theory.