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Jones-Wassermann subfactors for modular tensor categories

2016/12/27 by Zhengwei Liu, Feng Xu, Liu, Zhengwei +1
Mathematics · #Algebraic structures and combinatorial models #Advanced Operator Algebra Research #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1612.08573

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.

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