Abstract

Two-parameter (p,q) deformation of a parabosonic algebra underlying the two-particle Calogero model is considered. The Fock-space representation, Bargmann-Fock representation, coherent states, spectrum-generating algebra and a hidden supersymmetry are discussed. The paraboson algebra induces a centreless Virasoro-type algebra with a doubling of the space of generators. A two-parameter deformation of this Virasoro-type algebra is studied.

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