The six-vertex model on random lattices
Department of Physics and Astronomy, Rutgers University
Piscataway, NJ 08854-8019, USA
Accepted: 10 January 2000
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 continuously 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.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 04.60.Nc – Lattice and discrete methods
© EDP Sciences, 2000