On Lepowsky-Wilson's Z-algebra
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We show that the deformed Virasoro algebra specializes in a certain limit to Lepowsky-Wilson's Z-algebra. This leads to a free field realization of the affine Lie algebra \hat{sl_2} which respects the principal gradation. We discuss some features of this bosonization including the screening current and vertex operators.
Cite
@article{arxiv.math/0005203,
title = {On Lepowsky-Wilson's Z-algebra},
author = {Y. Hara and M. Jimbo and H. Konno and S. Odake and J. Shiraishi},
journal= {arXiv preprint arXiv:math/0005203},
year = {2007}
}
Comments
8 pages