JournalsprimsVol. 37 , No. 2DOI 10.2977/prims/1145476849

On a Conjecture of Kac–Wakimoto

  • Feng Xu

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


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.