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Generalized vertex algebras generated by parafermion-like vertex operators

Yongcun Gao·Haisheng Li
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Abstract

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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Yongcun Gao, Haisheng Li. 2000-06-14. Generalized vertex algebras generated by parafermion-like vertex operators. https://arxiv.org/abs/math/0006104

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