Nonlocal vertex algebras generated by formal vertex operators
نویسندگان
چکیده
منابع مشابه
Nonlocal vertex algebras generated by formal vertex operators
This is the first paper in a series to study vertex algebra-like objects arising from infinite-dimensional quantum groups (quantum affine algebras and Yangians). In this paper we lay the foundation for this study. For any vector space W , we study what we call quasi compatible subsets of Hom(W,W ((x))) and we prove that any maximal quasi compatible subspace has a natural nonlocal (namely noncom...
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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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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2006
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-006-0017-1