Abstract
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.
This work is dedicated to the memory of Dmitrij Vasil’evich Volkov and to all those who are struggling to have their work recognized. I wish to warmly thank the organizers of the Volkov Memorial for the heroic effort of organizing it during a freezing winter in Ukraine.
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© 1998 Springer-Verlag
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Gozzi, E. (1998). Universal hidden supersymmetry in classical mechanics and its local extension. In: Wess, J., Akulov, V.P. (eds) Supersymmetry and Quantum Field Theory. Lecture Notes in Physics, vol 509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105242
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DOI: https://doi.org/10.1007/BFb0105242
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