On Lepowsky-Wilson's Z-algebra
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algebralepowsky-wilsonz-algebraaffinebosonizationcertaincurrentdeformed
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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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