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Coset constructions and Kac-Wakimoto Hypothesis

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arxiv 2404.00778 v1 pith:SF5OT2QW submitted 2024-03-31 math.QA math.RT

Chongying Dong , Li Ren , Feng Xu This is my paper · ORCID
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keywords constructionscosethypothesiskac-wakimotoalgebraappliedassociatedcategorical
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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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Cited by 1 Pith paper

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  1. Fusion Products of Twisted Modules in Permutation Orbifolds: II

    math.QA 2024-11 conditional novelty 7.0 of 10

    The paper gives explicit S-matrix formulas for fusion products of twisted modules in cyclic permutation orbifolds of rational C2-cofinite vertex operator algebras.

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