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THE CALOGERO MODEL AND THE VIRASORO SYMMETRY

E. BERGSHOEFF

Institute for Theoretical Physics, Nijenborgh 4, 9747 AG Groningen, the Netherlands

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and

M. VASILIEV

I.E. Tamm Theoretical Department, P.N. Lebedev Physical Institute, 117924, Leninsky Prospect 53, Moscow, Russia

Supported in part by the Russian Fund of Fundamental Research, grant N67123016.

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https://doi.org/10.1142/S0217751X95001662Cited by:22 (Source: Crossref)

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. Furthermore, we present the superextension of these results and introduce a class of higher spin extensions of the Virasoro algebra which are of the W_∞ type.