BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yang Yang (Technical University of Munich) DTSTART:20240612T160000Z DTEND:20240612T170000Z DTSTAMP:20260423T040739Z UID:TQFT/114 DESCRIPTION:Title: R CFT correlators as equivalences of modular functors\nby Yang Yang (Tec hnical University of Munich) as part of Topological Quantum Field Theory C lub (IST\, Lisbon)\n\n\nAbstract\nThe local information of a 2d rational c onformal field theory (RCFT) is encoded in a vertex operator algebra\, who se modules constitute a modular fusion category C. The collection of globa l observables of the theory is given by conformal blocks and carries actio ns of mapping class groups\, which is described mathematically by a modula r functor that assigns the Drinfeld center Z(C) to a circle. The string-ne t construction\, which first appeared in the study of topological phases o f matter\, not only provides such a modular functor but also supplies a gr aphical construction of correlators. A generalization of the string-net co nstruction takes a pivotal bicategory as input. When such a bicategory is taken to be C (considered as a bicategory with one object)\, it recovers t he modular functor of conformal blocks. On the other hand\, the modular fu nctor associated with the Morita bicategory of separable symmetric Frobeni us algebras internal to C classifies stratified worldsheets up to "categor ical symmetries". In this talk we explain\, using the framework of double categories\, that RCFT correlators exhibit an equivalence between these tw o modular functors. This is in fact a consequence of the functoriality of the string-net construction: the lax biadjunction between a pivotal bicate gory and its orbifold completion induces an equivalence between their stri ng-net modular functors.\n LOCATION:https://researchseminars.org/talk/TQFT/114/ END:VEVENT END:VCALENDAR