Harmonic Superspaces For Three-Dimensional Theories

TL;DR

This paper explores three-dimensional supersymmetric field theories using harmonic superspace, highlighting the richer gauge theory geometry with N=3 supersymmetry and the possibility of constructing topological mass terms.

Contribution

It introduces the harmonic superspace framework for N=3 and N=4 supersymmetric theories and discusses the geometric differences and topological mass term construction for N=3.

Findings

Analytic superspaces for N=3 and N=4 are similar.

The gauge theory geometry with N=3 is richer.

Topological mass terms can be constructed in N=3 theories.

Abstract

Three-dimensional field theories with N=3 and N=4 supersymmetries are considered in the framework of the harmonic-superspace approach. Analytic superspaces of these supersymmetries are similar; however, the geometry of gauge theories with the manifest N=3 is richer and admits construction of the topological mass term.