The algebra W1 + infinity, 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(infinity) algebra is found to be the universal enveloping algebra of the super-euclidean algebra in two dimensions.
Quantum mechanics on the circle and W1+infinity / Floreanini, R; Percacci, Roberto; Sezgin, E.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 271:3-4(1991), pp. 372-376. [10.1016/0370-2693(91)90103-W]
Quantum mechanics on the circle and W1+infinity
Percacci, Roberto;
1991-01-01
Abstract
The algebra W1 + infinity, 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(infinity) algebra is found to be the universal enveloping algebra of the super-euclidean algebra in two dimensions.File in questo prodotto:
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