Jones-Wassermann subfactors for modular tensor categories
Operator Algebras
2017-06-09 v3 Mathematical Physics
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1612.08573,
title = {Jones-Wassermann subfactors for modular tensor categories},
author = {Zhengwei Liu and Feng Xu},
journal= {arXiv preprint arXiv:1612.08573},
year = {2017}
}
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29 pages