Antibrackets and Supersymmetric Mechanics

Abstract

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

Locations

• NATO ASI series. Series B : Physics - View
• arXiv (Cornell University) - PDF