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