Modular Data for the Extended Haagerup Subfactor
Date
2017-09-30
Authors
Gannon, Terry
Morrison, Scott
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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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Communications in Mathematical Physics
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Journal article
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Restricted until
2099-12-31