The Calogero Model and the Virasoro Symmetry

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 $W_{\infty }$ - type.

22 pages, Latex

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