Andrews-Baxter-Forrester复合模型中的局部高度概率
Local height probabilities in a composite Andrews-Baxter-Forrester model
摘要：
本文研究了Andrews，Baxter和Forrester提出的限制性固体-固体模型的复合高度模型中的局部高度概率，以及它们与共形场论特征的联系.得到的共形场论也描述了模型在两个不同临界点的临界行为。此外，在临界状态下，该模型相当于一个一维的任意子链，受到竞争的两体和三体相互作用的影响。对任意链的解释为引入复合高度模型提供了最初的动机，通过得到复合高度模型的临界行为，也建立了任意链的临界行为。取决于整体符号的哈密顿量，这种关键的行为是由一个对角陪集模型，概括的极小模型的一个符号，和Fateev Zamolodchikov parafermions的其他。
英文摘要：
We study the local height probabilities in a composite height model, derived from the restricted solid-on-solid model introduced by Andrews, Baxter and Forrester, and their connection with conformal field theory characters. The obtained conformal field theories also describe the critical behavior of the model at two different critical points. In addition, at criticality, the model is equivalent to a one-dimensional chain of anyons, subject to competing two- and three-body interactions. The anyonic-chain interpretation provided the original motivation to introduce the composite height model, and by obtaining the critical behaviour of the composite height model, the critical behaviour of the anyonic chains is established as well. Depending on the overall sign of the hamiltonian, this critical behaviour is described by a diagonal coset-model, generalizing the minimal models for one sign, and by Fateev-Zamolodchikov parafermions for the other.
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