N=4 Chern-Simons theories with auxiliary vector multiplets

TL;DR

This paper studies a specific class of quiver Chern-Simons theories with auxiliary vector multiplets, demonstrating their N=4 supersymmetry through explicit action and transformation formulations.

Contribution

It introduces and analyzes a new class of quiver Chern-Simons theories with vanishing couplings, establishing their N=4 supersymmetry explicitly.

Findings

Theories possess N=4 supersymmetry.

Explicit component actions and transformations provided.

Auxiliary vector multiplets are incorporated successfully.

Abstract

We investigate a class of quiver-type Chern-Simons gauge theories with some Chern-Simons couplings vanishing. The vanishing of the couplings means that the corresponding vector fields are auxiliary fields. We show that these theories possess N=4 supersymmetry by writing down the actions and the supersymmetry transformation in terms of component fields in manifestly Spin(4) covariant form.