Double categories unify modular functors from string-nets and CFT correlators, with a vertical transformation between bicategories shown equivalent, implying field functors are equivalences and universal correlators are isomorphisms.
Yeral,Open modular functors from non-finite tensor categories, preprint math.QA/2602.03519 36
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Modular functors and CFT correlators via double categories
Double categories unify modular functors from string-nets and CFT correlators, with a vertical transformation between bicategories shown equivalent, implying field functors are equivalences and universal correlators are isomorphisms.