BRST STRUCTURE OF NONLINEAR SUPERALGEBRAS

作者：Asorey M^*; Lavrov P M; Radchenko O V; Sugamoto A

来源：International Journal of Modern Physics A, 2009, 24(27): 5033-5050.

DOI：10.1142/S0217751X09046047

• BRST symmetry
• supersymmetry
• W symmetry

In this paper we analyze the structure of the BRST change of nonlinear superalgebras. We consider quadratic nonlinear superalgebras where a commutator (in terms of (super-)Poisson brackets) of the generators is a quadratic polynomial of the generators. We find the explicit from 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.

• 出版日期2009-10-30