BRS symmetry versus supersymmetry in Yang-Mills-Chern-Simons theory

TL;DR

This paper proves that three-dimensional N=1 supersymmetric Yang-Mills-Chern-Simons theory remains finite at all loop orders and demonstrates the equivalence of different regularization methods in preserving BRS invariance.

Contribution

It establishes the all-loop finiteness of the theory and shows the consistency of dimensional regularization and dimensional reduction in this context.

Findings

The theory is finite at all loop orders.

Dimensional regularization and dimensional reduction produce the same effective action.

Superfield approach preserves BRS invariance in this model.

Abstract

We prove that three-dimensional $N=1$ supersymmetric Yang-Mills-Chern-Simons theory is finite to all loop orders. In general this leaves open the possibility that different regularization methods lead to different finite effective actions. We show that in this model dimensional regularization and regularization by dimensional reduction yield the same effective action. Consequently, the superfield approach preserves BRS invariance for this model.