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arXiv · 2404.00778

Coset constructions and Kac-Wakimoto Hypothesis

Chongying Dong·Li Ren·Feng Xu
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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.

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Chongying Dong, Li Ren, Feng Xu. 2024-03-31. Coset constructions and Kac-Wakimoto Hypothesis. https://arxiv.org/abs/2404.00778

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