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arXiv 0906.4307math.OAcond-mat.stat-mechhep-thmath-phmath.MP
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SU(3)ADE图的Ocneanu胞和Boltzmann权

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

David E. Evans, Mathew Pugh

摘要:

除了di Francesco和Zuber为Gannon分类的SU(3)模不变量提出的$\mathcal{E}_4^{(12)}$外,我们在所有候选nimrep图上确定了Ocneanu已经宣布存在的胞.这使得玻尔兹曼权重计算相应的可积统计力学模型,并提供了框架,研究相应的辫子子因子,实现所有的SU(3)模不变量,以及一个新的SU(3)平面代数理论的框架。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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