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

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

1994-12-22

arxiv.org/abs/hep-th/9412194v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, latex, 1 figure, to appear in the Proceeding of 6-th Nankai Workshop

Scientific paper

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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