English

Geometry and off-shell nilpotency for N = 1 supersymmetric Yang-Mills theory

High Energy Physics - Theory 2023-07-19 v1

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.

Keywords

Cite

@article{arxiv.1509.06115,
  title  = {Geometry and off-shell nilpotency for N = 1 supersymmetric Yang-Mills theory},
  author = {A Meziane and Mohamed Tahiri},
  journal= {arXiv preprint arXiv:1509.06115},
  year   = {2023}
}

Comments

accepted for publication in Acta Polonica B and will appear in the October issue of the journal. arXiv admin note: substantial text overlap with arXiv:hep-th/0510206