{ "id": "1802.08911", "version": "v1", "published": "2018-02-24T20:54:31.000Z", "updated": "2018-02-24T20:54:31.000Z", "title": "Conformal bootstrap for percolation and polymers", "authors": [ "Andre LeClair", "Joshua Squires" ], "comment": "19 pages, 8 figures", "categories": [ "hep-th", "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "The conformal bootstrap is applied to percolation and dilute self-avoiding polymers, two theories with Virasoro central charge $c=0$ in two dimensions. In both cases we propose a spectrum of operators motivated by Virasoro symmetry which is devoid of a stress energy tensor as an approximate means of enforcing $c=0$. Percolation is treated in $2\\leq D \\leq 6$ dimensions, and the self-avoiding walk in $2 \\leq D \\leq 4$.", "revisions": [ { "version": "v1", "updated": "2018-02-24T20:54:31.000Z" } ], "analyses": { "keywords": [ "conformal bootstrap", "percolation", "virasoro central charge", "stress energy tensor", "approximate means" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }