{ "id": "cond-mat/9909250", "version": "v2", "published": "1999-09-16T17:36:00.000Z", "updated": "1999-10-05T14:44:00.000Z", "title": "The six-vertex model on random lattices", "authors": [ "P. Zinn-Justin" ], "comment": "10 pages, 3 figures", "journal": "Europhys.Lett.50:15-21,2000", "doi": "10.1209/epl/i2000-00229-y", "categories": [ "cond-mat.stat-mech", "hep-th", "math-ph", "math.MP" ], "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.", "revisions": [ { "version": "v2", "updated": "1999-10-05T14:44:00.000Z" } ], "analyses": { "keywords": [ "six-vertex model", "conformal field theories", "dynamical random lattices", "exact solution", "matrix model" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 508175 } } }