{
  "id": "1904.08578",
  "version": "v1",
  "published": "2019-04-18T03:09:52.000Z",
  "updated": "2019-04-18T03:09:52.000Z",
  "title": "Classification of simple weight modules for the $N=2$ superconformal algebra",
  "authors": [
    "Dong Liu",
    "Yufeng Pei",
    "Limeng Xia"
  ],
  "comment": "24 pages, Latex",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP",
    "math.QA",
    "math.RA"
  ],
  "abstract": "In this paper, we classify all simple weight modules with finite dimensional weight spaces over the $N=2$ superconformal algebra. As an application, we give a new proof of the classification of such modules for the $N=1$ superconformal algebra, which was originally published in [25].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-18T03:09:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B65",
      "17B68",
      "17B70"
    ],
    "keywords": [
      "simple weight modules",
      "superconformal algebra",
      "classification",
      "finite dimensional weight spaces",
      "application"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}