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On a Conjecture of Kac-Wakimoto

Feng Xu
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Abstract

We prove a conjecture about mininmal index of certain representations of Coset Algebraic Conformal Field Theories under general conditions as formulated previously by us. As a by-product, the Kac-Wakimoto Conjecture (KWC) which is related to the asympotics of the coset characters is true under the same conditions. The same idea in the proof also proves a recent conjecture related to subfactors from conformal inclusions.

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BibTeXRIS

Feng Xu. 2000-04-16. On a Conjecture of Kac-Wakimoto. https://arxiv.org/abs/math/9904098

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