Categorical extensions of conformal nets

2018/12/31 by Bin Gui · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP #math.OA #math.QA

paper · pdf · doi:10.1007/s00220-020-03860-8

published as Comm. Math. Phys. 383, 763-839 (2021) · 80 pages, to appear in Commun. Math. Phys

arxiv created 2020/11/19 · arxiv updated 2021/04/06

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.

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• Balanced tensor categories of representations of fixed-points conformal nets