Subfactor Realisation of Modular Invariants

  title={Subfactor Realisation of Modular Invariants},
  author={David E Evans and Paulo R. Pinto},
  journal={Communications in Mathematical Physics},
Abstract: We study the problem of realising modular invariants by braided subfactors and the related problem of classifying nimreps. We develop the fusion rule structure of these modular invariants. This structure is a useful tool in the analysis of modular data from quantum double subfactors, particularly those of the double of cyclic groups, the symmetric group on 3 letters and the double of the subfactors with principal graph the extended Dynkin diagram D5(1). In particular for the double of… CONTINUE READING