{
  "id": "2303.06898",
  "version": "v2",
  "published": "2023-03-13T07:21:50.000Z",
  "updated": "2023-03-20T02:48:38.000Z",
  "title": "Representations of the twisted $N=2$ superconformal algebra",
  "authors": [
    "Haibo Chen",
    "Yukun Xiao"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we construct a large class of new simple modules over the twisted $N=2$ superconformal algebra. These new simple modules over the twisted $N=2$ superconformal algebra are restricted modules and include various versions of Whittaker modules. More precisely, based on simple modules over the finite-dimensional solvable Lie superalgebras, we construct many simple restricted modules over the twisted $N=2$ superconformal algebra.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-03-20T02:48:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "superconformal algebra",
      "simple modules",
      "representations",
      "finite-dimensional solvable lie superalgebras",
      "simple restricted modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}