{
  "id": "1705.08294",
  "version": "v1",
  "published": "2017-05-22T16:41:01.000Z",
  "updated": "2017-05-22T16:41:01.000Z",
  "title": "An algebraic approach to minimal models in CFTs",
  "authors": [
    "Marianne Leitner"
  ],
  "comment": "30 pages. arXiv admin note: substantial text overlap with arXiv:1305.0469",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "CFTs are naturally defined on Riemann surfaces. The rational ones can be solved using methods from algebraic geometry. One particular feature is the covariance of the partition function under the mapping class group. In genus $g=1$, one can apply the standard theory of modular forms, which can be linked to ordinary differential equations of hypergeometric type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-22T16:41:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T40"
    ],
    "keywords": [
      "minimal models",
      "algebraic approach",
      "ordinary differential equations",
      "riemann surfaces",
      "mapping class group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}