{ "id": "2212.08434", "version": "v1", "published": "2022-12-16T12:21:08.000Z", "updated": "2022-12-16T12:21:08.000Z", "title": "On the $RP^{N-1}$ and $CP^{N-1}$ universality classes", "authors": [ "Youness Diouane", "Noel Lamsen", "Gesualdo Delfino" ], "categories": [ "cond-mat.stat-mech", "hep-th" ], "abstract": "We recently determined the exact fixed point equations and the spaces of solutions of the two-dimensional $RP^{N-1}$ and $CP^{N-1}$ models using scale invariant scattering theory. Here we discuss subtleties hidden in some solutions and related to the difference between ferromagnetic and antiferromagnetic interaction.", "revisions": [ { "version": "v1", "updated": "2022-12-16T12:21:08.000Z" } ], "analyses": { "keywords": [ "universality classes", "exact fixed point equations", "scale invariant scattering theory", "antiferromagnetic interaction", "subtleties hidden" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }