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arXiv · 2212.11129

Arctic curves of the 20V model on a triangle

Philippe Di Francesco
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Abstract

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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Philippe Di Francesco. 2022-12-21. Arctic curves of the 20V model on a triangle. https://doi.org/10.1088/1751-8121%2Facccbe

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