The Calogero Model and the Virasoro Symmetry
E. Bergshoeff, M. Vasiliev
Abstract
We construct new realizations of the Virasoro algebra inspired by the Calogero model. The Virasoro algebra we find acts as a kind of spectrum-generating algebra of the Calogero model. We furthermore present the superextension of these results and introduce a class of higher-spin extensions of the Virasoro algebra which are of the W∞ - type.
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