The six-vertex model on random lattices

Abstract

In this letter, the 6-vertex model on dynamical random lattices is defined via a matrix model and rewritten (following I. Kostov) as a deformation of the O(2) model. In the large N planar limit, an exact solution is found at criticality. The critical exponents of the model are determined; they vary continously along the critical line. The vicinity of the latter is explored, which confirms that we have a line of c=1 conformal field theories coupled to gravity.

10 pages, 3 figures

References in corpus (2)

• Two-Matrix model with ABAB interaction
• An Iterative Solution of the Three-colour Problem on a Random Lattice

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