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Modular Data for the Extended Haagerup Subfactor

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Date

2017-09-30

Authors

Gannon, Terry
Morrison, Scott

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Volume Title

Publisher

Harwood Academic Publishers

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.

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Citation

URI

http://hdl.handle.net/1885/218232

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ANU Research Publications

Source

Communications in Mathematical Physics

Type

Journal article

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DOI

10.1007/s00220-017-3003-x

Restricted until

2099-12-31

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Gannon-Morrison2017_Article_ModularDataForTheExtendedHaage.pdf (734.74 KB)

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