Semidensities, second-class constraints, and conversion in anti-Poisson geometry

DOI10.1063/1.2890672zbMath1152.81334arXiv0705.3440OpenAlexW2053396172MaRDI QIDQ5504893

Klaus Bering

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3440

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Partial differential equations on manifolds; differential operators (58J99)

Related Items (6)

Gauge independence in a higher-order Lagrangian formalism via change of variables in the path integral ⋮ Odd Laplacians: geometrical meaning of potential and modular class ⋮ Quantization of \((-1)\)-shifted derived Poisson manifolds ⋮ A comparative study of Laplacians and Schrödinger– Lichnerowicz–Weitzenböck identities in Riemannian and antisymplectic geometry ⋮ External sources in field–antifield formalism ⋮ Fedosov and Riemannian supermanifolds

Cites Work

• On generalized gauge fixing in the field--antifield formalism
• Geometry of Batalin-Vilkovisky quantization
• Antisymplectic gauge theories
• BFV quantization on Hermitian symmetric spaces
• On odd Laplace operators
• Semidensities on odd symplectic supermanifolds
• Algebra of higher antibrackets
• Non-commutative Batalin-Vilkovisky algebras, homotopy Lie algebras and the Courant bracket
• ON POSSIBLE GENERALIZATIONS OF FIELD-ANTIFIELD FORMALISM
• A note on semidensities in antisymplectic geometry
• Odd scalar curvature in field-antifield formalism
• AN Sp(2) COVARIANT FORMALISM OF A GENERALIZED CANONICAL QUANTIZATION WITH SECOND-CLASS CONSTRAINTS

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