Categorical extensions of conformal nets
arXiv:1812.04470 · doi:10.1007/s00220-020-03860-8
Abstract
An important goal in studying the relations between unitary VOAs and conformal nets is to prove the equivalence of their ribbon categories. In this article, we prove this conjecture for many familiar examples. Our main idea is to construct new structures associated to conformal nets: the categorical extensions.
80 pages, to appear in Commun. Math. Phys