{"paper":{"title":"One-Dimensional Sums and Finitized Characters of $2 \\times 2$ Fused RSOS Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alessandra Vittorini-Orgeas, Gy\\\"orgy Z. Feh\\'er, Paul A. Pearce","submitted_at":"2018-04-10T03:57:38Z","abstract_excerpt":"Tartaglia and Pearce have argued that the nonunitary $n\\times n$ fused Forrester-Baxter $\\mbox{RSOS}(m,m')$ models are described, in the continuum scaling limit, by the minimal models ${\\cal M}(M,M',n)$ constructed as the higher-level conformal cosets $(A^{(1)}_1)_k\\otimes (A^{(1)}_1)_n/(A^{(1)}_1)_{k+n}$ at integer fusion level $n\\ge 1$ and fractional level $k=nM/(M'\\!-\\!M)-2$ with $(M,M')=\\big(nm-(n\\!-\\!1)m',m'\\big)$. These results rely on Yang-Baxter integrability and are valid in Regime III for models determined by the crossing parameter $\\lambda=(m'\\!-\\!m)\\pi/m'$ in the interval $0<\\lambd"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03332","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}