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arXiv · hep-th/9412194

The Yangian Deformation of the W-Algebras and and the Calogero-Sutherland model

Denis Bernard·Kazuhiro Hikami·Miki Wadati
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Abstract

The Yangian symmetry Y(su($n$)) of the Calogero-Sutherland-Moser spin model is reconsidered. The Yangian generators are constructed from two non-commuting su($n$)-loop algebras. The latters generate an infinite dimensional symmetry algebra which is a deformation of the $W_\infty$-algebra. We show that this deformed $W_\infty$-algebra contains an infinite number of Yangian subalgebras with different deformation parameters.

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Denis Bernard, Kazuhiro Hikami, Miki Wadati. 1994-12-22. The Yangian Deformation of the W-Algebras and and the Calogero-Sutherland model. https://arxiv.org/abs/hep-th/9412194

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