Arctic curves of the 20V model on a triangle
International audience 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...
Published in: | Journal of Physics A: Mathematical and Theoretical |
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Main Author: | |
Other Authors: | , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
HAL CCSD
2023
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Subjects: | |
Online Access: | https://hal.science/hal-04216436 https://hal.science/hal-04216436/document https://hal.science/hal-04216436/file/Di_Francesco_2023_J._Phys._A%20_Math._Theor._56_204001.pdf https://doi.org/10.1088/1751-8121/acccbe |
Summary: | International audience 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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