Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases

Abstract

This is a continuation of the papers [4] of Bleher and Fokin and [5] of Bleher and Liechty, in which the large n asymptotics is obtained for the partition function Zn of the six-vertex model with domain wall boundary conditions in the disordered and ferroelectric phases, respectively. In the present paper we obtain the large n asymptotics of Zn on the critical line between these two phases.

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