Linear odd Poisson bracket on Grassmann variables

DOI10.1016/S0370-2693(99)00228-2zbMath0970.37041arXivhep-th/9811252WikidataQ127305352 ScholiaQ127305352MaRDI QIDQ5934458

Vyacheslav A. Soroka

Publication date: 7 May 2001

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9811252

zbMATH Keywords

Lie superalgebraCasimir functionGrassmann-odd nilpotent differential \(\Delta\)-operator

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (5)

Odd Hamiltonian structure for supersymmetric Sawada-Kotera equation ⋮ A Lie group structure underlying the triplectic geometry ⋮ Odd bi-Hamiltonian structure of new supersymmetric \(N=2,4\) Korteweg de Vries equation and odd SUSY Virasoro-like algebra. ⋮ HODGE DUALITY OPERATION AND ITS PHYSICAL APPLICATIONS ON SUPERMANIFOLDS ⋮ Supersymmetric KP hierarchy in \(N=1\) superspace and its \(N=2\) reductions

Cites Work

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• Covariant quantization of gauge theories in the framework of extended BRST symmetry
• Generalized classical dynamics, and the ‘classical analogue’ of a Fermioscillator
• Geometry of superspace with even and odd brackets
• Canonical Poisson brackets of different gradings and strange superalgebras
• A Lie group structure underlying the triplectic geometry

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