Abstract
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.
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Communicated by Y. Kawahigashi
Supported by NSF grants, and a Faculty research grant from the University of California at Santa Cruz.
Supported by China NSF grants (No.10931006, No.10926040), and Natural Science Foundation of Fujian Province, China (No.2009J05012).
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Dong, C., Wang, Q. The Structure of Parafermion Vertex Operator Algebras: General Case. Commun. Math. Phys. 299, 783–792 (2010). https://doi.org/10.1007/s00220-010-1114-8
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DOI: https://doi.org/10.1007/s00220-010-1114-8