{"paper":{"title":"On 2d Conformal Field Theories with Two Characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Harsha R. Hampapura, Sunil Mukhi","submitted_at":"2015-10-15T11:48:09Z","abstract_excerpt":"Rational CFT's are classified by an integer $\\ell$, the number of zeroes of the Wronskian of their characters in moduli space. For $\\ell=0$ they satisfy non-singular modular-invariant differential equations, while for $\\ell>0$ the corresponding equations have singularities. We survey CFT's with two characters and $\\ell=0,2,3,4$ and verify the consistency, at the level of characters, of some candidate theories with $\\ell\\ne 0$. For $\\ell=2$ there are seven consistents sets of characters. We identify specific combinations of level-1 current algebras that are potential symmetries of the correspon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04478","kind":"arxiv","version":4},"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"}