Title	A positivity conjecture for unitary VOAs
Creator	Tener, James
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-09-27T14:47
Description	Unitary vertex operator algebras and conformal nets are mathematical axiomatizations of roughly the same physical idea: a two-dimensional unitary chiral conformal field theory. From a mathematical perspective, the axiomatizations are quite different in nature, and physical ideas which have been rigorously proven in one framework sometimes remain quite difficult in the other. In this talk I will explain a positivity conjecture for unitary VOAs which arose in the course of ongoing work to compare the theory of tensor products (i.e. fusion of sectors) as it appears in both settings. The conjecture is not limited to rational VOAs, and it suggests a general construction of unitary tensor products of modules. As time allows, I will present ongoing work to relate the representation theory of conformal nets and VOAs, as well as work in progress to establish the positivity conjecture in a broad class of examples.
Extent	43.0
Subject	Mathematics; Algebraic geometry; Quantum theory; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Australian National University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-27
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377586
URI	http://hdl.handle.net/2429/69271
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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A positivity conjecture for unitary VOAs Tener, James

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