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

Philippe Di Francesco

Published 2021-06-03Version 1

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. The results rely on a conjecture on the form of the thermodynamic free energy of the U-turn Six Vertex model, which we check on numerous examples.