Modular data for the extended Haagerup subfactor
Quantum Algebra
2017-10-25 v1 High Energy Physics - Theory
Category Theory
Number Theory
Operator Algebras
Abstract
We compute the modular data (that is, the and matrices) for the centre of the extended Haagerup subfactor. The full structure (i.e. the associativity data, also known as 6- symbols or matrices) still appears to be inaccessible. Nevertheless, starting with just the number of simple objects and their dimensions (obtained by a combinatorial argument in arXiv:1404.3955) we find that it is surprisingly easy to leverage knowledge of the representation theory of into a complete description of the modular data. We also investigate the possible character vectors associated with this modular data.
Keywords
Cite
@article{arxiv.1606.07165,
title = {Modular data for the extended Haagerup subfactor},
author = {Terry Gannon and Scott Morrison},
journal= {arXiv preprint arXiv:1606.07165},
year = {2017}
}