{
  "id": "hep-th/0108054",
  "version": "v2",
  "published": "2001-08-08T20:37:52.000Z",
  "updated": "2002-03-01T01:33:32.000Z",
  "title": "A non-reductive N=4 superconformal algebra",
  "authors": [
    "Jorgen Rasmussen"
  ],
  "comment": "10 pages, LaTeX, version to be published",
  "journal": "J.Phys.A35:2037-2044,2002",
  "doi": "10.1088/0305-4470/35/8/316",
  "categories": [
    "hep-th",
    "math.QA"
  ],
  "abstract": "A new N=4 superconformal algebra (SCA) is presented. Its internal affine Lie algebra is based on the seven-dimensional Lie algebra su(2)\\oplus g, where g should be identified with a four-dimensional non-reductive Lie algebra. Thus, it is the first known example of what we choose to call a non-reductive SCA. It contains a total of 16 generators and is obtained by a non-trivial In\\\"on\\\"u-Wigner contraction of the well-known large N=4 SCA. The recently discovered asymmetric N=4 SCA is a subalgebra of this new SCA. Finally, the possible affine extensions of the non-reductive Lie algebra g are classified. The two-form governing the extension appearing in the SCA differs from the ordinary Cartan-Killing form.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-03-01T01:33:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "superconformal algebra",
      "internal affine lie algebra",
      "seven-dimensional lie algebra",
      "four-dimensional non-reductive lie algebra",
      "ordinary cartan-killing form"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 561263
    }
  }
}