Quantum Mechanics on the Circle and W_{1+\INFTY}
High Energy Physics - Theory
2009-10-22 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9111053,
title = {Quantum Mechanics on the Circle and W_{1+\INFTY}},
author = {R. Floreanini and R. Percacci and E. Sezgin},
journal= {arXiv preprint arXiv:hep-th/9111053},
year = {2009}
}
Comments
(8 pages)