BRST superspace and auxiliary fields for N=1 supersymmetric Yang-Mills theory

TL;DR

This paper develops a BRST superspace framework for N=1 supersymmetric Yang-Mills theory, introducing auxiliary fields to achieve off-shell nilpotency and constructing invariant gauge-fixing actions.

Contribution

It presents a novel method to incorporate auxiliary fields via supersymmetric transformations to ensure off-shell nilpotency in BRST formulations.

Findings

Auxiliary fields enable off-shell nilpotency of BRST and anti-BRST operators.

Constructed BRST and anti-BRST invariant gauge-fixing quantum action.

Demonstrated the applicability of the superspace approach to supersymmetric gauge theories.

Abstract

We use a Becchi-Rouet-Stora-Tyutin (BRST) superspace approach to formulate off-shell nilpotent BRST and anti-BRST transformations in four dimensional N=1 supersymmetric Yang-Mills theory. The method is based on the possibility of introducing auxiliary fields through the supersymmetric transformations of the superpartener of the gauge potential associated to a supersymmetric Yang-Mills connection. These fields are required to achieve the off-shell nilpotency of the BRST and anti-BRST operators. We also show how this off-shell structure is used to build the BRST and anti-BRST invariant gauge-fixing quantum action.