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The six-vertex model on random lattices

P. Zinn-Justin
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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.

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BibTeXRIS

P. Zinn-Justin. 1999-10-05. The six-vertex model on random lattices. https://doi.org/10.1209/epl%2Fi2000-00229-y

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