The Calogero Model and the Virasoro Symmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, Latex

Scientific paper

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.

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