On the $W$-algebra in the Calegero-Sutherland model using the Exchange operators

Details On the $W$-algebra in the Calegero-Sutherland model using the Exchange operators On the $W$-algebra in the Calegero-Sutherland model using the Exchange operators

1995-10-31

arxiv.org/abs/hep-th/9510239v1

Mod.Phys.Lett. A11 (1996) 763-774

Physics

High Energy Physics

High Energy Physics - Theory

Plain Tex, no figures, 13 pages

Scientific paper

We study the $W_\infty$ algebra in the Calegero-Sutherland model using the
exchange operators. The presence of all the sub-algebras of $W_\infty$ is shown
in this model. A simplified proof for this algebra, in the symmetric ordered
basics, is given. It is pointed out that the algebra contains in general,
nonlinear terms. Possible connection to the nonlinear $W_\infty$ is discussed.

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