Yangians and W-algebras
Mathematical Physics
2013-05-20 v1 math.MP
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.
Cite
@article{arxiv.1305.4100,
title = {Yangians and W-algebras},
author = {C. Briot and E. Ragoucy},
journal= {arXiv preprint arXiv:1305.4100},
year = {2013}
}
Comments
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)