Bicommutant categories from conformal nets

Abstract

We prove that the category of solitons of a finite index conformal net is a bicommutant category, and that its Drinfel'd center is the category of representations of the conformal net. In the special case of a chiral WZW conformal net with finite index, the second result specializes to the statement that the Drinfel'd center of the category of representations of the based loop group is equivalent to the category of representations of the free loop group. These results were announced in [arXiv:1503.06254].

34 pages; expanded intro

Cited by in corpus (2)

• Drinfeld center of enriched monoidal categories
• Extended TQFT arising from enriched multi-fusion categories