{
  "id": "1704.05093",
  "version": "v1",
  "published": "2017-04-17T18:59:16.000Z",
  "updated": "2017-04-17T18:59:16.000Z",
  "title": "Maximally extended sl(2|2), q-deformed d(2,1;epsilon) and 3D kappa-Poincaré",
  "authors": [
    "Niklas Beisert",
    "Reimar Hecht",
    "Ben Hoare"
  ],
  "comment": "25 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.QA"
  ],
  "abstract": "We show that the maximal extension sl(2) times psl(2|2) times C3 of the sl(2|2) superalgebra can be obtained as a contraction limit of the semi-simple superalgebra d(2,1;epsilon) times sl(2). We reproduce earlier results on the corresponding q-deformed Hopf algebra and its universal R-matrix by means of contraction. We make the curious observation that the above algebra is related to kappa-Poincar\\'e symmetry. When dropping the graded part psl(2|2) we find a novel one-parameter deformation of the 3D kappa-Poincar\\'e algebra. Our construction also provides a concise exact expression for its universal R-matrix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-17T18:59:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "universal r-matrix",
      "maximal extension sl",
      "concise exact expression",
      "3d kappa-poincare algebra",
      "reproduce earlier results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}