Quantum dimensions and fusion rules for parafermion vertex operator algebras
نویسندگان
چکیده
منابع مشابه
The Structure of Parafermion Vertex Operator Algebras
It is proved that the parafermion vertex operator algebra associated to the irreducible highest weight module for the affine Kac-Moody algebra A (1) 1 of level k coincides with a certain W -algebra. In particular, a set of generators for the parafermion vertex operator algebra is determined.
متن کاملFusion Rules for the Vertex Operator Algebras M (1)
The fusion rules for the vertex operator algebras M(1)+ (of any rank) and V + L (for any positive definite even lattice L) are determined completely.
متن کاملVertex operator algebras, fusion rules and modular transformations
We discuss a recent proof by the author of a general version of the Verlinde conjecture in the framework of vertex operator algebras and the application of this result to the construction of modular tensor tensor category structure on the category of modules for a vertex operator algebra.
متن کاملThe structure of parafermion vertex operator algebras: general case
The structure of the parafermion vertex operator algebra associated to an integrable highest weight module for any affine Kac-Moody algebra is studied. In particular, a set of generators for this algebra has been determined.
متن کاملGeneralized 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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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2015
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/12838