BRST structure of non-linear superalgebras

Details BRST structure of non-linear superalgebras BRST structure of non-linear superalgebras

2008-09-19

arxiv.org/abs/0809.3322v2

Int.J.Mod.Phys.A24:5033-5050,2009

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex, references added, misprints corrected, comments added

Scientific paper

10.1142/S0217751X09046047

In this paper we analyse the structure of the BRST charge of nonlinear superalgebras. We consider quadratic non-linear superalgebras where a commutator (in terms of (super) Poisson brackets) of the generators is a quadratic polynomial of the generators. We find the explicit form of the BRST charge up to cubic order in Faddeev-Popov ghost fields for arbitrary quadratic nonlinear superalgebras. We point out the existence of constraints on structure constants of the superalgebra when the nilpotent BRST charge is quadratic in Faddeev-Popov ghost fields. The general results are illustrated by simple examples of superalgebras.

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