From Vertex Operators to Calogero-Sutherland Models

Abstract

The correlation function of the product of N generalized vertex operators satisfies an infinite set of Ward identities, related to a W_{\infty} algebra, whose extention out of the mass shell gives rise to equations which can be considered as a generalization of the compactified Calogero-Sutherland (CS) hamiltonians. In particular the wave function of the ground state of the compactified CS model is shown to be given by the value of the product of N vertex operators between the vacuum and exitated state. The role of vertex algebra as underlying unifying structure is pointed out.

28 pages, Latex

References in corpus (13)

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Cited by in corpus (5)

• Calogero-Sutherland model and bulk-boundary correlations in conformal field theory
• Correspondence between conformal field theory and Calogero-Sutherland model
• Truncated Calogero-Sutherland models
• G(2)-Calogero-Moser Lax operators from reduction
• Truncated Calogero-Sutherland Models on a Circle