Deformed Double Yangian Structures
Quantum Algebra
2009-10-31 v1 Mathematical Physics
math.MP
Abstract
Scaling limits when q tends to 1 of the elliptic vertex algebras A_qp(sl(N)) are defined for any N, extending the previously known case of N=2. They realise deformed, centrally extended double Yangian structures DY_r(sl(N)). As in the quantum affine algebras U_q(sl(N)), and quantum elliptic affine algebras A_qp(sl(N)), these algebras contain subalgebras at critical values of the central charge c=-N-Mr (M integer, 2r=ln p/ln q), which become Abelian when c=-N or 2r=Nh for h integer. Poisson structures and quantum exchange relations are derived for their abstract generators.
Cite
@article{arxiv.math/9905100,
title = {Deformed Double Yangian Structures},
author = {D. Arnaudon and J. Avan and L. Frappat and M. Rossi},
journal= {arXiv preprint arXiv:math/9905100},
year = {2009}
}
Comments
16 pages, LaTeX2e Document - packages amsfonts,amssymb,subeqnarray