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arxiv: hep-th/9411093 · v1 · pith:BVRDOABAnew · submitted 1994-11-14 · ✦ hep-th

The Calogero Model and the Virasoro Symmetry

classification ✦ hep-th
keywords algebravirasorocalogeromodelactsclassconstructextensions
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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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