The main goal of this paper is to classify ?-module categories for the SO(3)2m modular tensor category. This done by classifying nimrep graphs and cell systems, in process we also SO(3) invariants. There are module type A, E their conjugates, but there no orbifold (or D) categories. We present a construction subfactor with principal graph given fusion rules fundamental generator introduce Frobe...

To generate the minimal neutrino Majorana mass matrix that has a free solar mixing angle and ∆msol = 0 it suffices to implement an O(2) symmetry, or one of its subgroups SO(2), ZN≥3, or DN≥3. This O(2) generalizes the hidden Z2 of lepton mixing and leads in addition automatically to μ–τ symmetry. Flavor-democratic perturbations, as expected e.g. from the Planck scale, then result in tri-bimaxim...