Arctic curves of the Reflecting Boundary Six Vertex and of the Twenty Vertex models

TL;DR

This paper uses the Tangent Method to predict the arctic curves in the Disordered phase of the Reflecting Boundary Six Vertex and Twenty Vertex models, providing new insights into their boundary behaviors.

Contribution

It applies the Tangent Method to these models with specific boundary conditions, advancing understanding of their arctic curves in the Disordered phase.

Findings

Predicted arctic curves for the models.

Extended the Tangent Method to new boundary conditions.

Provided analytical descriptions of boundary regions.

Abstract

We apply the Tangent Method of Colomo and Sportiello to predict the arctic curves of the Six Vertex model with reflecting (U-turn) boundary and of the related Twenty Vertex model with suitable domain wall boundary conditions on a quadrangle, both in their Disordered phase.