JournalsprimsVol. 37, No. 2pp. 165–190

On a Conjecture of Kac–Wakimoto

  • Feng Xu

    University of California, Riverside, USA
On a Conjecture of Kac–Wakimoto cover
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Abstract

We prove a conjecture about mininmal index of certain representations of Coset Algebraic Conformal Field Theories under certain 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.

Cite this article

Feng Xu, On a Conjecture of Kac–Wakimoto. Publ. Res. Inst. Math. Sci. 37 (2001), no. 2, pp. 165–190

DOI 10.2977/PRIMS/1145476849