## Proceedings of the Centre for Mathematics and its Applications

### The Relation between Subfactors arising from Conformal Nets and the Realization of Quantum Doubles

Marcel Bischoff

#### Abstract

We give a precise definition for when a subfactor arises from a conformal net which can be motivated by classification of defects. We show that a subfactor $N \subset M$ arises from a conformal net if there is a conformal net whose representation category is the quantum double of $N \subset M$.

#### Article information

Dates
First available in Project Euclid: 21 February 2017