Quantum Mechanics on the Circle and W_{1+\INFTY}

Details Quantum Mechanics on the Circle and W_{1+\INFTY} Quantum Mechanics on the Circle and W_{1+\INFTY}

1991-11-25

arxiv.org/abs/hep-th/9111053v1

Phys.Lett. B261 (1991) 51-56

Physics

High Energy Physics

High Energy Physics - Theory

(8 pages)

Scientific paper

10.1016/0370-2693(91)91323-N

The algebra W_{1+\infty} 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_\infty algebra is found to be the
universal enveloping algebra of the super-Euclidean algebra in two dimensions.

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