{ "id": "1705.07627", "version": "v1", "published": "2017-05-22T09:30:13.000Z", "updated": "2017-05-22T09:30:13.000Z", "title": "Rational CFTs on Riemann surfaces", "authors": [ "Marianne Leitner", "Werner Nahm" ], "comment": "90 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "The partition function of rational conformal field theories (CFTs) on Riemann surfaces is expected to satisfy ODEs of Gauss-Manin type. We investigate the case of hyperelliptic surfaces and derive the ODE system for the $(2,5)$ minimal model.", "revisions": [ { "version": "v1", "updated": "2017-05-22T09:30:13.000Z" } ], "analyses": { "subjects": [ "81T40" ], "keywords": [ "riemann surfaces", "rational cfts", "rational conformal field theories", "minimal model", "partition function" ], "note": { "typesetting": "TeX", "pages": 90, "language": "en", "license": "arXiv", "status": "editable" } } }