English

The irreducible modules and fusion rules for the parafermion vertex operator algebras

Quantum Algebra 2016-10-18 v2 Representation Theory

Abstract

The irreducible modules for the parafermion vertex operator algebra associated to any finite dimensional Lie algebra and any positive integer are identified, the quantum dimensions are computed and the fusion rules are determined.

Keywords

Cite

@article{arxiv.1412.8154,
  title  = {The irreducible modules and fusion rules for the parafermion vertex operator algebras},
  author = {Chunrui Ai and Chongying Dong and Xiangyu Jiao and Li Ren},
  journal= {arXiv preprint arXiv:1412.8154},
  year   = {2016}
}

Comments

21 pages, minor revision