Coset constructions and Kac-Wakimoto Hypothesis

2024/03/31 by Chongying Dong, Li Ren, Dong, Chongying +3 · 1 citation
Computer Science · #17B69 #Advanced Algebra and Logic #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2404.00778

openalex publication_date 2024/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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