Description:
In recent years, subfactor methods have constructed hundreds of new fusion categories, with strong evidence these live in infinite families. Taking their doubles, we obtain hundreds (and probably infinite families) of new modular tensor categories. These modular tensor categories have a distinctive appearance. Abstracting this appearance, it is natural to guess that there is a new construction, which we call the smashed-sum, combining old modular tensor categories into new ones. It is tempting to guess the smashed-sum construction also lives in the VOA world, in fact this may be its natural home. An example of such a VOA would be the mythical Haagerup VOA. Non UBC Unreviewed Author affiliation: University of Alberta Faculty
Author(s):
Gannon, Terry
Source Repository:
UBC cIRcle BIRS Workshop Lecture Videos
Publisher(s):
Banff International Research Station for Mathematical Innovation and Discovery
License:
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
URL:
http://hdl.handle.net/2429/69273
Publication date:
2019-03-27
Keywords: