On Lepowsky-Wilson’s Z-algebra
نویسندگان
چکیده
We show that the deformed Virasoro algebra specializes in a certain limit to LepowskyWilson’s Z-algebra. This leads to a free field realization of the affine Lie algebra ŝl2 which respects the principal gradation. We discuss some features of this bosonization including the screening current and vertex operators. Graduate School of Arts and Sciences, The University of Tokyo, Komaba, Tokyo 153-8914, Japan. e-mail:[email protected] Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo 153-8914, Japan. e-mail:[email protected] 3 Department of Mathematics, Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima 739-8521, Japan. e-mail:[email protected] 4 Department of Physics, Faculty of Science, Shinshu University, Matsumoto 390-8621, Japan. e-mail:[email protected] Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo 153-8914, Japan. e-mail:[email protected]
منابع مشابه
Generalized vertex algebras generated by parafermion-like vertex operators
It is proved that for a vector space W , any set of parafermion-like vertex operators on W in a certain canonical way generates a generalized vertex algebra in the sense of [DL2] with W as a natural module. This result generalizes a result of [Li2]. As an application, generalized vertex algebras are constructed from Lepowsky-Wilson’s Z-algebras of any nonzero level.
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