Free boson representation of DY_{\hbar}(gl_N)_k
High Energy Physics - Theory
2008-11-26 v1 Quantum Algebra
q-alg
Abstract
We construct a realization of the Yangian double DY_\hbar(gl_N) and DY_\hbar(sl_N) of an arbitrary level k in terms of free boson fields with a continuous parameter. In the \hbar \to 0 limit this realization becomes the Wakimoto realization of kac-Moody algebra gl_N and sl_N, respectively. The vertex operators and the screening currents are also constructed with the same spirits; the screening currents commute with DY_\hbar(sl_N) modulo total difference.
Keywords
Cite
@article{arxiv.hep-th/9709016,
title = {Free boson representation of DY_{\hbar}(gl_N)_k},
author = {X. M. Ding and B. Y. Hou and B. Yuan Hou and L. Zhao},
journal= {arXiv preprint arXiv:hep-th/9709016},
year = {2008}
}
Comments
19pages, Latex, no figures