1999/09/30 by Paul Zinn-Justin, P. Zinn-Justin
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Combinatorics #Computer science #Condensed matter physics #Conformal field theory #Conformal map #Critical line #Criticality #Eigenvalues and eigenvectors #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Planar #Pure mathematics #Quantum mechanics #Random Matrices and Applications #Random matrix #Statistical physics #Theoretical physics #Vertex (graph theory) #cond-mat.stat-mech #hep-th #math-ph #math.MP
paper · pdf · doi:10.1209/epl/i2000-00229-y
published as Europhys.Lett.50:15-21,2000 · 10 pages, 3 figures
arxiv created 1999/10/05 · openalex publication_date 2000/04/01 · arxiv updated 2010/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.