{ "id": "1611.05529", "version": "v1", "published": "2016-11-17T01:57:05.000Z", "updated": "2016-11-17T01:57:05.000Z", "title": "Conformal nets are factorization algebras", "authors": [ "Andre Henriques" ], "comment": "11 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "We prove that conformal nets of finite index are an instance of the notion of a factorization algebra. This result is an ingredient in our proof that, for $G=SU(n)$, the Drinfel'd center of the category of positive energy representations of the based loop group is equivalent to the category of positive energy representations of the free loop group.", "revisions": [ { "version": "v1", "updated": "2016-11-17T01:57:05.000Z" } ], "analyses": { "subjects": [ "81T40" ], "keywords": [ "conformal nets", "factorization algebra", "positive energy representations", "free loop group", "drinfeld center" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }