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Partition Functions, Intertwiners and the Coxeter Element

高能物理 - 理论 2015-06-26 v1

摘要

The partition functions of Pasquier models on the cylinder, and the associated intertwiners, are considered. It is shown that earlier results due to Saleur and Bauer can be rephrased in a geometrical way, reminiscent of formulae found in certain purely elastic scattering theories. This establishes the positivity of these intertwiners in a general way and elucidates connections between these objects and the finite subgroups of SU(2). It also offers the hope that analogous geometrical structures might lie behind the so-far mysterious results found by Di Francesco and Zuber in their search for generalisations of these models.

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引用

@article{arxiv.hep-th/9205040,
  title  = {Partition Functions, Intertwiners and the Coxeter Element},
  author = {Patrick Dorey},
  journal= {arXiv preprint arXiv:hep-th/9205040},
  year   = {2015}
}

备注

18 pages