1995/05/02 by Armen Nersessian, A. Nersessian, P. H. Damgaard +1 · 23 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Algorithm #BRST quantization #Black Holes and Theoretical Physics #Classical mechanics #Covariant transformation #Formalism (music) #Gauge theory #Lagrangian #Lie algebra #Mathematical physics #Mathematics #Physics #Poisson bracket #Poisson distribution #Pure mathematics #Quantization (signal processing) #hep-th
paper · pdf · doi:10.1016/0370-2693(95)00750-f
published in Physics Letters B 355(1-2), 150-156 (Elsevier BV) · 9 pages, LaTeX
arxiv created 1995/05/02 · openalex publication_date 1995/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.