Classical BRST charge for nonlinear algebras

Abstract

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.

15 pages, references added, version accepted by JMP

References in corpus (3)

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• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• On Higher-spin Generalisations of String Theory

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• On manifolds admitting the consistent Lagrangian formulation for higher spin fields
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• Explicit construction of the classical BRST charge for nonlinear algebras
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• Programming Realization of Symbolic Computations for Non-linear Commutator Superalgebras over the Heisenberg--Weyl Superalgebra: Data Structures and Processing Methods
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