Yangians and W-algebras

Abstract

We present a connection between W-algebras and Yangians, in the case of gl(N) algebras, as well as for twisted Yangians and/or super-Yangians. This connection allows to construct an R-matrix for the W-algebras, and to classify their finite-dimensional irreducible representations. We illustrate it in the framework of nonlinear Schroedinger equation in 1+1 dimension.

13 pages This note corresponds to a talk given by E. Ragoucy at NEEDS 2000 (Gokova, Turkey, July 2000) and at Group23 (XXIIIth ICGTMP, Dubna, Russia, August 2000)

References in corpus (2)

• Yangian symmetry in the Non Linear Schrodinger hierarchy
• Yangians, finite W-algebras and the Non Linear Schrodinger hierarchy