With Bischoff and Longo, we have proved that Rehren's construction producing the generalized Longo-Rehren subfactor and the full center construction of Fuchs-Runkel-Schweigert coincide for a Q-system arising from a modular tensor category. This proves a conjecture of Kong and Runkel. As an application, we have classified boundrary conditions in boundary conformal field theory and clarified relations between removing and adding a boundary.
With Bischoff, Longo and Rehren, we have also studied and classified defects in boundary conformal field theory within the operator algebraic framework.