Near-group fusion categories and their doubles

Evans, David E. and Gannon, Terry 2014. Near-group fusion categories and their doubles. Advances in Mathematics 255 , pp. 586-640. 10.1016/j.aim.2013.12.014

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Abstract

A near-group fusion category is a fusion category C where all but 1 simple objects are invertible. Examples of these include the Tambara-Yamagami categories and the even sectors of the E6 and affine-D5 subfactors, though there are infinitely many others. We classify the near-group fusion categories, and compute their doubles and the modular data relevant to conformal field theory. Among other things, we explicitly construct over 40 new finite depth subfactors, with Jones index ranging from around 6.85 to around 14.93. We expect all of these doubles to be realised by rational conformal field theories.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Near-group fusion category; Subfactors; Tube algebra; Modular data
Additional Information:	Pdf uploaded in accordance with publisher's policy at http://www.sherpa.ac.uk/romeo/issn/0001-8708/ (accessed 09/06/2014)
Publisher:	Elsevier
ISSN:	0001-8708
Funders:	EPSRC
Date of First Compliant Deposit:	30 March 2016
Date of Acceptance:	6 December 2013
Last Modified:	26 Nov 2024 15:30
URI:	https://orca.cardiff.ac.uk/id/eprint/35904

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