Arctic curves of the 20V model on a triangle
Mathematical Physics
2023-05-10 v1 Combinatorics
math.MP
Probability
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.
Keywords
Cite
@article{arxiv.2212.11129,
title = {Arctic curves of the 20V model on a triangle},
author = {Philippe Di Francesco},
journal= {arXiv preprint arXiv:2212.11129},
year = {2023}
}
Comments
36 pages, 32 figures