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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2023

Arctic curves of the 20V model on a triangle

Résumé

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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Dates et versions

hal-04216436 , version 1 (27-02-2024)

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Philippe Di Francesc. Arctic curves of the 20V model on a triangle. Journal of Physics A: Mathematical and Theoretical, 2023, 56 (20), pp.204001. ⟨10.1088/1751-8121/acccbe⟩. ⟨hal-04216436⟩
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