Geometry and Off-shell Nilpotency for $\mathcal {N}=1$ Supersymmetric Yang--Mills Theory

DOI10.5506/APHYSPOLB.46.1955zbMATH Open1371.81224arXiv1509.06115OpenAlexW2962712179MaRDI QIDQ5360038

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Publication date: 27 September 2017

Published in: (Search for Journal in Brave)

Abstract: We show that for N = 1 supersymmetric Yang-Mills theory it is possible to build an off-shell nilpotent BRST and anti-BRST algebra in terms of a BRST superspace formalism. This is based on the introduction of the basic fields of the quantized theory together with an auxiliary real field via the lowest components of the superfield components of a superYang-Mills connection. Here, the associated supercurvature is constrained by horizontality conditions as in ordinary Yang-Mills theory. We also show how the off-shell BRST-invariant quantum action can be constructed starting from a gauge-fixed superaction.

Full work available at URL: https://arxiv.org/abs/1509.06115

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