1999/04/30 by Feng Xu
Mathematics · Physics and Astronomy · #math.RT #math-ph #math.MP #math.OA #math.QA
published as Publ.Res.Inst.Math.Sci.Kyoto 37 (2001) 165-190 · Correction of statement concerning strong additivity, added proofs of non-degeneracy and references
arxiv created 2000/04/16 · arxiv updated 2009/11/30
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.