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arXiv · 0906.4307

Ocneanu Cells and Boltzmann Weights for the SU(3) ADE Graphs

David E. Evans·Mathew Pugh
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Abstract

We determine the cells, whose existence has been announced by Ocneanu, on all the candidate nimrep graphs except $\mathcal{E}_4^{(12)}$ 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 realise all the SU(3) modular invariants as well as a framework for a new SU(3) planar algebra theory.

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BibTeXRIS

David E. Evans, Mathew Pugh. 2009-06-23. Ocneanu Cells and Boltzmann Weights for the SU(3) ADE Graphs. https://arxiv.org/abs/0906.4307

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