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

A. Aidaoui·A. Meziane·M. Tahiri
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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.

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A. Aidaoui, A. Meziane, M. Tahiri. 2005-10-24. BRST superspace and auxiliary fields for N=1 supersymmetric Yang-Mills theory. https://arxiv.org/abs/hep-th/0510206

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