On a Conjecture of Kac-Wakimoto

Details On a Conjecture of Kac-Wakimoto On a Conjecture of Kac-Wakimoto

1999-04-19

arxiv.org/abs/math/9904098v2

Publ.Res.Inst.Math.Sci.Kyoto 37 (2001) 165-190

Mathematics

Representation Theory

Correction of statement concerning strong additivity, added proofs of non-degeneracy and references

Scientific paper

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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