Quantum Mechanics on the Circle and W1+
R. Floreanini, R. Percacci, E. Sezgin
Abstract
The algebra W1+∞ with central charge c=0 can be identified with the algebra of quantum observables of a particle moving on a circle. Mathematically, it is the universal enveloping algebra of the Euclidean algebra in two dimensions. Similarly, the super W∞ algebra is found to be the universal enveloping algebra of the super-Euclidean algebra in two dimensions.
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