{
  "id": "2406.10548",
  "version": "v1",
  "published": "2024-06-15T08:01:26.000Z",
  "updated": "2024-06-15T08:01:26.000Z",
  "title": "Kac-Moody and Virasoro algebras on the two-sphere and the two-torus",
  "authors": [
    "Rutwig Campoamor-Stursberg",
    "Michel Rausch de Traubenberg"
  ],
  "comment": "10 pages, to appear in the Proceedings of the 15-th International Workshop \"Lie Theory and Its Applications in Physics\" (LT-15), 19-25 June 2023, Varna, Bulgaria",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.RT"
  ],
  "abstract": "We particularise the construction of generalised Kac-Moody algebras associated to compact real manifolds to the case of the two-torus $\\mathbb T_2$ and the two-sphere ${\\mathbb S}^2$. It is shown that these algebras, as well as a Virasoro algebra associated to the two-torus and the two-sphere, can also be derived considering the usual Kac-Moody and Virasoro algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-15T08:01:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "virasoro algebra",
      "two-sphere",
      "compact real manifolds",
      "generalised kac-moody algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}