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Comments on the Covariant Sp(2)-Symmetric Lagrangian BRST Formalism

A. Nersessian·P. H. Damgaard
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Abstract

We give a simple geometrical picture of the basic structures of the covariant $Sp(2)$ symmetric quantization formalism -- triplectic quantization -- recently suggested by Batalin, Marnelius and Semikhatov. In particular, we show that the appearance of an even Poisson bracket is not a particular property of triplectic quantization. Rather, any solution of the classical master equation generates on a Lagrangian surface of the antibracket an even Poisson bracket. Also other features of triplectic quantization can be identified with aspects of conventional Lagrangian BRST quantization without extended BRST symmetry.

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A. Nersessian, P. H. Damgaard. 1995-05-02. Comments on the Covariant Sp(2)-Symmetric Lagrangian BRST Formalism. https://doi.org/10.1016/0370-2693(95)00750-f

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