{
  "id": "hep-th/0412061",
  "version": "v3",
  "published": "2004-12-07T11:22:10.000Z",
  "updated": "2005-03-31T16:32:50.000Z",
  "title": "On Extensions of Superconformal Algebras",
  "authors": [
    "Jasbir Nagi"
  ],
  "comment": "16 Pages, LaTeX2e, references added, typesetting fixed, Journal ref added",
  "journal": "J.Math.Phys. 46 (2005) 042308",
  "doi": "10.1063/1.1863652",
  "categories": [
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Starting from vector fields that preserve a differential form on a Riemann sphere with Grassmann variables, one can construct a Superconformal Algebra by considering central extensions of the algebra of vector fields. In this note, the N=4 case is analyzed closely, where the presence of weight zero operators in the field theory forces the introduction of non-central extensions. How this modifies the existing Field Theory, Representation Theory and Gelfand-Fuchs constructions is discussed. It is also discussed how graded Riemann sphere geometry can be used to give a geometrical description of the central charge in the N=1 theory.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-03-31T16:32:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.30.Ly",
      "11.10.-z",
      "02.10.Ud",
      "11.30.Pb",
      "02.40.Ky"
    ],
    "keywords": [
      "superconformal algebra",
      "vector fields",
      "graded riemann sphere geometry",
      "weight zero operators",
      "field theory forces"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 666378
    }
  }
}