On a Conjecture of Kac-Wakimoto
Representation Theory
2007-05-23 v2 Mathematical Physics
math.MP
Operator Algebras
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.math/9904098,
title = {On a Conjecture of Kac-Wakimoto},
author = {Feng Xu},
journal= {arXiv preprint arXiv:math/9904098},
year = {2007}
}
Comments
Correction of statement concerning strong additivity, added proofs of non-degeneracy and references