Arctic curves of the 20V model on a triangle
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...
| Published in: | Journal of Physics A: Mathematical and Theoretical |
|---|---|
| Main Author: | |
| Other Authors: | , |
| Format: | Article in Journal/Newspaper |
| Language: | unknown |
| Published: |
IOP Publishing
2023
|
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1088/1751-8121/acccbe https://iopscience.iop.org/article/10.1088/1751-8121/acccbe https://iopscience.iop.org/article/10.1088/1751-8121/acccbe/pdf |
| Summary: | 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. |
|---|