Ocneanu cells and Boltzmann weights for the SU(3) ADE graphs

Evans, David Emrys and Pugh, Mathew J. ORCID: https://orcid.org/0000-0001-9045-3713 2009. Ocneanu cells and Boltzmann weights for the SU(3) ADE graphs. Munster Journal of Mathematics 2 , pp. 94-142.

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Abstract

We determine the cells, whose existence has been announced by Ocneanu, on all the candidate nimrep graphs except E(12) 4 proposed by di Francesco and Zuber for the SU(3) modular invariants classified by Gannon. This enables the Boltzmann weights to be computed for the corresponding integrable statistical mechanical models and provide the framework for studying corresponding braided subfactors to realize all the SU(3) modular invariants as well as a framework for a new SU(3) planar algebra theory.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	University of Munster
ISSN:	1867-5778
Related URLs:	http://miami.uni-muenster.de/servlets/De...
Last Modified:	18 Oct 2022 14:29
URI:	https://orca.cardiff.ac.uk/id/eprint/17677

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