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On Lepowsky-Wilson's Z-algebra

Y. Hara·M. Jimbo·H. Konno·S. Odake·J. Shiraishi
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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.

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BibTeXRIS

Y. Hara, M. Jimbo, H. Konno, S. Odake, J. Shiraishi. 2000-05-22. On Lepowsky-Wilson's Z-algebra. https://arxiv.org/abs/math/0005203

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