Geometric interpretation of the quantum master equation in the BRST—anti-BRST formalism

1992/05/01 by Marc Henneaux · 3 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1016/0370-2693(92)90654-m

published as Phys.Lett. B282 (1992) 372-376 · 12 pages

openalex publication_date 1992/05/01 · arxiv created 1992/05/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The geometric interpretation of the antibracket formalism given by Witten is extended to cover the anti-BRST symmetry. This enables one to formulate the quantum master equation for the BRST--anti-BRST formalism in terms of integration theory over a supermanifold. A proof of the equivalence of the standard antibracket formalism with the antibracket formalism for the BRST--anti-BRST symmetry is also given.

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• Triplectic quantization: A geometrically covariant description of the Sp(2)-symmetric Lagrangian formalism