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Modular Data for the Extended Haagerup Subfactor

Gannon, Terry; Morrison, Scott

Description

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...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
URI: http://hdl.handle.net/1885/218232
Source: Communications in Mathematical Physics
DOI: 10.1007/s00220-017-3003-x

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