Classical BRST charge for nonlinear algebras

Details Classical BRST charge for nonlinear algebras Classical BRST charge for nonlinear algebras

2007-01-26

arxiv.org/abs/hep-th/0701243v2

J.Math.Phys.48:082306,2007

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, references added, version accepted by JMP

Scientific paper

10.1063/1.2767537

We study the construction of the classical nilpotent canonical BRST charge for the nonlinear gauge algebras where a commutator (in terms of Poisson brackets) of the constraints is a finite order polynomial of the constraints. Such a polynomial is characterized by the coefficients forming a set of higher order structure constraints. Assuming the set of constraints to be linearly independent, we find the restrictions on the structure constraints when the nilpotent BRST charge can be written in a simple and universal form. In the case of quadratically nonlinear algebras we find the expression for third order contribution in the ghost fields to the BRST charge without the use of any additional restrictions on the structure constants.

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