Arctic curves of the 20V model on a triangle ...
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 rel...
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Format: | Text |
Language: | unknown |
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arXiv
2022
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Online Access: | https://dx.doi.org/10.48550/arxiv.2212.11129 https://arxiv.org/abs/2212.11129 |
Summary: | 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. ... : 36 pages, 32 figures ... |
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