Antibrackets and Supersymmetric Mechanics
High Energy Physics - Theory
2008-02-03 v2
Abstract
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.
Cite
@article{arxiv.hep-th/9306111,
title = {Antibrackets and Supersymmetric Mechanics},
author = {Armen Nersessian},
journal= {arXiv preprint arXiv:hep-th/9306111},
year = {2008}
}
Comments
8 pages, Preprint JINR E2-93-225 , LaTeX file