English

A superspace formulation of the BV action

High Energy Physics - Theory 2008-11-26 v1

Abstract

We show that the BV (Batalin Vilkovisky) action, formulated with an extended BRST symmetry (including the shift symmetry), is also invariant under an extended anti-BRST transformation (where the antifields are the parameters of the transformation), when the gauge fixing Lagrangian is both BRST and anti-BRST invariant. We show that for a general gauge fixing Lagrangian, the BV action can be written in a manifestly extended BRST invariant manner in a superspace with one Grassmann coordinate whereas it can be expressed in a manifestly extended BRST and anti-BRST invariant manner in a superspace with two Grassmann coordinates when the gauge fixing Lagrangian is invariant under both BRST and anti-BRST transformations.

Keywords

Cite

@article{arxiv.hep-th/9408028,
  title  = {A superspace formulation of the BV action},
  author = {Nelson R. F. Braga and Ashok Das},
  journal= {arXiv preprint arXiv:hep-th/9408028},
  year   = {2008}
}

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20 pages