  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].
