The structure of parafermion vertex operator algebras
Quantum Algebra
2014-11-18 v1 Representation Theory
Abstract
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.
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Cite
@article{arxiv.0904.2758,
title = {The structure of parafermion vertex operator algebras},
author = {Chongying Dong and Ching Hung lam and Qing Wang and Hiromichi Yamada},
journal= {arXiv preprint arXiv:0904.2758},
year = {2014}
}
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12 pages