The genus-zero five-vertex model

Abstract

We study the free energy and limit shape problem for the five-vertex model with periodic "genus zero" weights. We derive the exact phase diagram, free energy and surface tension for this model. We show that its surface tension has trivial potential and use this to give explicit parameterizations of limit shapes.

arXiv comment28 pages, accepted version

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Cited by in corpus (2)

• Gradient variational problems in ${\mathbb{R}}^2$
• Dimer Models and Conformal Structures