{ "id": "cond-mat/0609435", "version": "v2", "published": "2006-09-19T18:56:26.000Z", "updated": "2006-11-29T23:16:29.000Z", "title": "Loop models and their critical points", "authors": [ "Paul Fendley" ], "comment": "20 pages, 15 figures", "journal": "J.Phys.A39:15445,2006", "doi": "10.1088/0305-4470/39/50/011", "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP", "math.PR" ], "abstract": "Loop models have been widely studied in physics and mathematics, in problems ranging from polymers to topological quantum computation to Schramm-Loewner evolution. I present new loop models which have critical points described by conformal field theories. Examples include both fully-packed and dilute loop models with critical points described by the superconformal minimal models and the SU(2)_2 WZW models. The dilute loop models are generalized to include SU(2)_k models as well.", "revisions": [ { "version": "v2", "updated": "2006-11-29T23:16:29.000Z" } ], "analyses": { "keywords": [ "critical points", "dilute loop models", "superconformal minimal models", "conformal field theories", "wzw models" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "inspire": 726746, "adsabs": "2006cond.mat..9435F" } } }