Categorical extensions of conformal nets
Quantum Algebra
2021-04-06 v8 Mathematical Physics
math.MP
Operator Algebras
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.
Cite
@article{arxiv.1812.04470,
title = {Categorical extensions of conformal nets},
author = {Bin Gui},
journal= {arXiv preprint arXiv:1812.04470},
year = {2021}
}
Comments
80 pages, to appear in Commun. Math. Phys