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arXiv · 1612.08573

Jones-Wassermann subfactors for modular tensor categories

Zhengwei Liu·Feng Xu
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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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Zhengwei Liu, Feng Xu. 2017-06-08. Jones-Wassermann subfactors for modular tensor categories. https://arxiv.org/abs/1612.08573

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