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

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 $N\subset M$.

10 pages

References in corpus (2)

• Conformal Field Theory, Tensor Categories and Operator Algebras
• Yang-Baxter relation planar algebras

Cited by in corpus (1)

• The F-Symbols for the H3 Fusion Category