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Central charges in regular mechanics

A. Cabo·J. L. Lucio M.·V. Villanueva
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Abstract

We consider the algebra associated to a group of transformations which are symmetries of a regular mechanical system (i.e. system free of constraints). For time dependent coordinate transformations we show that a central extension may appear at the classical level which is coordinate and momentum independent. A cochain formalism naturally arises in the argument and extends the usual configuration space cochain concepts to phase space.

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A. Cabo, J. L. Lucio M., V. Villanueva. 1997-11-21. Central charges in regular mechanics. https://arxiv.org/abs/quant-ph/9711036

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