On Exotic Modular Tensor Categories

  title={On Exotic Modular Tensor Categories},
  author={Seung-Moon Hong and Eric C. Rowell and Zhenghan Wang},
It has been conjectured that every (2+1)-TQFT is a Chern-SimonsWitten (CSW) theory labelled by a pair (G, λ), where G is a compact Lie group, and λ ∈ H(BG; Z) a cohomology class. We study two TQFTs constructed from Jones’ subfactor theory which are believed to be counterexamples to this conjecture: one is the quantum double of the even sectors of the E6… CONTINUE READING