Antibrackets and Supersymmetric Mechanics

Details Antibrackets and Supersymmetric Mechanics Antibrackets and Supersymmetric Mechanics

1993-06-22

arxiv.org/abs/hep-th/9306111v2

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Preprint JINR E2-93-225 , LaTeX file

Scientific paper

Using odd symplectic structure constructed over tangent bundle of the symplectic manifold, we construct the simple supergeneralization of an arbitrary Hamiltonian mechanics on it. In the case, if the initial mechanics defines Killing vector of some Riemannian metric, corresponding supersymmetric mechanics can be reformulated in the terms of even symplectic structure on the supermanifold.

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