{
  "id": "1509.02509",
  "version": "v1",
  "published": "2015-09-08T19:38:33.000Z",
  "updated": "2015-09-08T19:38:33.000Z",
  "title": "Loop groups and noncommutative geometry",
  "authors": [
    "Sebastiano Carpi",
    "Robin Hillier"
  ],
  "comment": "21 pages",
  "categories": [
    "math.OA",
    "math-ph",
    "math.KT",
    "math.MP"
  ],
  "abstract": "We describe the representation theory of loop groups in terms of K-theory and noncommutative geometry. This is done by constructing suitable spectral triples associated with the level l projective unitary positive-energy representations of any given loop group LG. The construction is based on certain supersymmetric conformal field theory models associated with LG.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-08T19:38:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L87",
      "46L80",
      "19K35",
      "22E67",
      "81T05"
    ],
    "keywords": [
      "noncommutative geometry",
      "suitable spectral triples",
      "supersymmetric conformal field theory models",
      "projective unitary positive-energy representations",
      "loop group lg"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150902509C",
      "inspire": 1392516
    }
  }
}