{
  "id": "hep-th/9212104",
  "version": "v1",
  "published": "1992-12-17T09:45:41.000Z",
  "updated": "1992-12-17T09:45:41.000Z",
  "title": "W-algebras with set of primary fields of dimensions (3, 4, 5) and (3,4,5,6)",
  "authors": [
    "K. Hornfeck"
  ],
  "comment": "17 pages, LaTeX, KCL-TH-92-9, DFFT-70/92",
  "journal": "Nucl.Phys. B407 (1993) 237-246",
  "doi": "10.1016/0550-3213(93)90281-S",
  "categories": [
    "hep-th"
  ],
  "abstract": "We show that that the Jacobi-identities for a W-algebra with primary fields of dimensions 3, 4 and 5 allow two different solutions. The first solution can be identified with WA_4. The second is special in the sense that, even though associative for general value of the central charge, null-fields appear that violate some of the Jacobi-identities, a fact that is usually linked to exceptional W-algebras. In contrast we find for the algebra that has an additional spin 6 field only the solution WA_5.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1992-12-17T09:45:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "primary fields",
      "dimensions",
      "general value",
      "jacobi-identities",
      "central charge"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 342139
    }
  }
}