Observable algebra for the rational and trigonometric Euler Calogero Moser models

Details Observable algebra for the rational and trigonometric Euler Calogero Moser models Observable algebra for the rational and trigonometric Euler Calogero Moser models

1994-04-07

arxiv.org/abs/hep-th/9404040v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages; Latex; PAR LPTHE 94-16 Misprints and minor mistakes corrected; references updated

Scientific paper

10.1016/0375-9601(95)00042-2

We construct polynomial Poisson algebras of observables for the classical
Euler-Calogero-Moser (ECM) models. The conserved Hamiltonians and symmetry
algebras derived in a previous work are subsets of these algebras. We define
their linear, $N \rightarrow \infty$ limits, realizing $\w_{\infty}$ type
algebras coupled to current algebras.

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