Jones-Wassermann subfactors for modular tensor categories

2016/12/27 by Zhengwei Liu, Feng Xu, Liu, Zhengwei +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math-ph #math.MP #math.OA #math.QA

paper · pdf · doi:10.48550/arxiv.1612.08573

29 pages

arxiv created 2017/06/08 · arxiv updated 2017/06/09

Abstract

The representation theory of a conformal net is a unitary modular tensor category. It is captured by the bimodule category of the Jones-Wassermann subfactor. In this paper, we construct multi-interval Jones-Wassermann subfactors for unitary modular tensor categories. We prove that these subfactors are self-dual. It generalizes and categorifies the self-duality of finite abelian groups and we call it modular self-duality.

Citations

• From subfactors to categories and topology II: The quantum double of tensor categories and subfactors

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