From Vertex Operators to Calogero-Sutherland Models

Details From Vertex Operators to Calogero-Sutherland Models From Vertex Operators to Calogero-Sutherland Models

1996-04-24

arxiv.org/abs/hep-th/9604158v1

Nucl.Phys. B476 (1996) 351-373

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Latex

Scientific paper

10.1016/0550-3213(96)00345-8

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.

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