Coset constructions and Kac-Wakimoto Hypothesis
Quantum Algebra
2024-04-02 v1 Representation Theory
Abstract
Categorical coset constructions are investigated and Kac-Wakimoto Hypothesis associated with pseudo unitary modular tensor categories is proved. In particular, the field identifications are obtained. These results are applied to the coset constructions in the theory of vertex operator algebra.
Cite
@article{arxiv.2404.00778,
title = {Coset constructions and Kac-Wakimoto Hypothesis},
author = {Chongying Dong and Li Ren and Feng Xu},
journal= {arXiv preprint arXiv:2404.00778},
year = {2024}
}
Comments
23 pages