Yangians, finite W-algebras and the Non Linear Schrodinger hierarchy
M. Mintchev, E. Ragoucy, P. Sorba, Ph. Zaugg
Abstract
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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