Coset constructions and Kac-Wakimoto Hypothesis

Published 31 Mar 2024 in math.QA and math.RT | (2404.00778v1)

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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