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arXiv · hep-th/9510239

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

V. Narayanan·M. Sivakumar
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Abstract

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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V. Narayanan, M. Sivakumar. 1995-10-31. On the $W$-algebra in the Calegero-Sutherland model using the Exchange operators. https://doi.org/10.1142/s0217732396000771

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