Central charges in regular mechanics

Details Central charges in regular mechanics Central charges in regular mechanics

1997-11-18

arxiv.org/abs/quant-ph/9711036v2

Physics

Quantum Physics

LaTeX, no figures, corrected for misprints, sent to Annals of Physics(NY)

Scientific paper

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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