Modular Data for the Extended Haagerup Subfactor

Terry Gannon; Scott Morrison

doi:10.1007/s00220-017-3003-x

Modular Data for the Extended Haagerup Subfactor

Terry Gannon, Scott Morrison^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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 , 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.

Original language	English
Pages (from-to)	981-1015
Number of pages	35
Journal	Communications in Mathematical Physics
Volume	356
Issue number	3
DOIs	https://doi.org/10.1007/s00220-017-3003-x
Publication status	Published - 1 Dec 2017

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Modular Data for the Extended Haagerup Subfactor

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