{
  "id": "1208.1140",
  "version": "v1",
  "published": "2012-08-06T11:49:16.000Z",
  "updated": "2012-08-06T11:49:16.000Z",
  "title": "$κ$-deformation, affine group and spectral triples",
  "authors": [
    "B. Iochum",
    "T. Masson",
    "A. Sitarz"
  ],
  "comment": "29 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "A regular spectral triple is proposed for a two-dimensional $\\kappa$-deformation. It is based on the naturally associated affine group $G$, a smooth subalgebra of $C^*(G)$, and an operator $\\caD$ defined by two derivations on this subalgebra. While $\\caD$ has metric dimension two, the spectral dimension of the triple is one. This bypasses an obstruction described in \\cite{IochMassSchu11a} on existence of finitely-summable spectral triples for a compactified $\\kappa$-deformation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-06T11:49:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "deformation",
      "regular spectral triple",
      "spectral dimension",
      "metric dimension",
      "associated affine group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1126011,
      "adsabs": "2012arXiv1208.1140I"
    }
  }
}