On Lepowsky-Wilson's Z-algebra
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2000
- DOI:
- 10.48550/arXiv.math/0005203
- arXiv:
- arXiv:math/0005203
- Bibcode:
- 2000math......5203H
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematical Physics;
- Mathematics - Mathematical Physics
- E-Print:
- 8 pages