On Lepowsky-Wilson's Z-algebra

Details On Lepowsky-Wilson's Z-algebra On Lepowsky-Wilson's Z-algebra

2000-05-22

arxiv.org/abs/math/0005203v1

Recent Developments in Infinite-Diminsional Lie Algebras and Conformal Field Theory, Proceedings of the Conference on Infinite

Mathematics

Quantum Algebra

8 pages

Scientific paper

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.

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