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Subfactor realisation of modular invariants

Evans, David Emrys and Pinto, Paulo R. 2003. Subfactor realisation of modular invariants. Communications in mathematical physics 237 (1-2) , pp. 309-363. 10.1007/s00220-003-0862-0

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We study the problem of realising modular invariants by braided subfactors and the related problem of classifying nimreps. We develop the fusion rule structure of these modular invariants. This structure is a useful tool in the analysis of modular data from quantum double subfactors, particularly those of the double of cyclic groups, the symmetric group on 3 letters and the double of the subfactors with principal graph the extended Dynkin diagram D 5 (1). In particular for the double of S 3, 14 of the 48 modular modular invariants are nimless, and only 28 of the remaining 34 nimble invariants can be realised by subfactors.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Springer
ISSN: 1432-0916
Last Modified: 04 Jun 2017 01:41

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