Generalized vertex algebras generated by parafermion-like vertex operators
Quantum Algebra
2007-05-23 v1
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.
Cite
@article{arxiv.math/0006104,
title = {Generalized vertex algebras generated by parafermion-like vertex operators},
author = {Yongcun Gao and Haisheng Li},
journal= {arXiv preprint arXiv:math/0006104},
year = {2007}
}
Comments
Latex, 31 pages