Yangians, finite W-algebras and the Non Linear Schrodinger hierarchy

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX2e, 10 pages, Talk presented by E. Ragoucy at ACTP-Nankai Symposium on Yang-Baxter systems, non linear models and their a

Scientific paper

We show an algebra morphism between Yangians and some finite W-algebras. This
correspondence is nicely illustrated in the framework of the Non Linear
Schrodinger hierarchy. For such a purpose, we give an explicit realization of
the Yangian generators in terms of deformed oscillators.

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