Universal Hidden Supersymmetry in Classical Mechanics and its Local Extension

Details Universal Hidden Supersymmetry in Classical Mechanics and its Local Extension Universal Hidden Supersymmetry in Classical Mechanics and its Local Extension

1997-03-27

arxiv.org/abs/hep-th/9703203v1

"Supersymmetry and Quantum Field Theory" Eds.V.Akulov and J.Wess,Springer-Verlag 1998, pag.166.

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, latex, Volkov Memorial Proceedings

Scientific paper

10.1007/BFb0105242

We review here a path-integral approach to classical mechanics and explore the geometrical meaning of this construction. In particular we bring to light a universal hidden BRS invariance and its geometrical relevance for the Cartan calculus on symplectic manifolds. Together with this BRS invariance we also show the presence of a universal hidden genuine non-relativistic supersymmetry. In an attempt to understand its geometry we make this susy local following the analogous construction done for the supersymmetric quantum mechanics of Witten.

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