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 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

References in corpus (2)

• Algebraic arctic curves in the domain-wall six-vertex model
• Arctic curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex models

Cited by in corpus (2)

• Checkerboard CFT
• Arctic curves of the four-vertex model