论文标题

三角形上20V模型的北极曲线

Arctic curves of the 20V model on a triangle

论文作者

Di Francesco, Philippe

论文摘要

我们应用了Colomo和Sportiello的切线方法来预测二十个顶点模型的北极曲线,该模型在三角形上具有特定的域壁边界条件,在无序相时,导致相图具有六种类型的冷冻相和一个液体。结果依赖于具有域壁边界条件和合适权重的六个顶点模型的关系,这是由于集成性的结果。我们还执行精确的配置枚举。

We apply the Tangent Method of Colomo and Sportiello to predict the arctic curves of the Twenty Vertex model with specific domain wall boundary conditions on a triangle, in the Disordered phase, leading to a phase diagram with six types of frozen phases and one liquid one. The result relies on a relation to the Six Vertex model with domain wall boundary conditions and suitable weights, as a consequence of integrability. We also perform the exact refined enumeration of configurations.

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