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Communications in Mathematical Physics

, Volume 356, Issue 3, pp 981–1015 | Cite as

Modular Data for the Extended Haagerup Subfactor

  • Terry Gannon
  • Scott Morrison
Article

Abstract

We compute the modular data (that is, the S and T matrices) for the centre of the extended Haagerup subfactor [BMPS12]. The full structure (i.e., the associativity data, also known as 6-j symbols or F matrices) still appears to be inaccessible. Nevertheless, starting with just the number of simple objects and their dimensions (obtained by a combinatorial argument in [MW14]) we find that it is surprisingly easy to leverage knowledge of the representation theory of \({SL (2, \mathbb{Z})}\) into a complete description of the modular data. We also investigate the possible character vectors associated with this modular data. This is the published version of arXiv:1606.07165.

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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.University of AlbertaCalgaryCanada
  2. 2.Australian National UniversityCanberraAustralia

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