{
  "id": "enwiki-001373698791",
  "slug": "fusion-rules",
  "title": "Fusion rules",
  "qid": "",
  "lead": "In mathematics and theoretical physics, fusion rules are rules that determine the exact decomposition of the tensor product of two representations of a group into a direct sum of irreducible representations. The term is often used in the context of two-dimensional conformal field theory where the relevant group is generated by the Virasoro algebra, the relevant representations are the conformal families associated with a primary field and the tensor product is realized by operator product expansions. The fusion rules contain the information about the kind of families that appear on the right-hand side of these OPEs, including the multiplicities. More generally, integrable models in 2 dimensions which are not conformal field theories are also described by fusion rules for their charges.",
  "body": "In mathematics and theoretical physics, fusion rules are rules that determine the exact decomposition of the tensor product of two representations of a group into a direct sum of irreducible representations. The term is often used in the context of two-dimensional conformal field theory where the relevant group is generated by the Virasoro algebra, the relevant representations are the conformal families associated with a primary field and the tensor product is realized by operator product expansions. The fusion rules contain the information about the kind of families that appear on the right-hand side of these OPEs, including the multiplicities. More generally, integrable models in 2 dimensions which are not conformal field theories are also described by fusion rules for their charges.",
  "categories": [
    "20170065",
    "23118434",
    "23468805",
    "23603337",
    "28699057"
  ],
  "license": "CC BY-SA 4.0",
  "source_uri": "https://en.wikipedia.org/w/index.php?oldid=1373698791",
  "content_hash": "",
  "created_at": null,
  "updated_at": 1788774764.0,
  "claims": [],
  "contradictions": [],
  "confidence": 0.6,
  "csl": {
    "id": "enwiki-001373698791",
    "type": "webpage",
    "title": "Fusion rules",
    "author": [
      {
        "family": "Anticloud FZ LLE",
        "literal": "Anticloud FZ LLE"
      }
    ],
    "container-title": "encyclopegia.org",
    "publisher": "Anticloud FZ LLE",
    "publisher-place": "Dubai, United Arab Emirates",
    "URL": "https://encyclopegia.org/a/fusion-rules",
    "issued": {
      "date-parts": [
        [
          2026,
          11,
          15
        ]
      ]
    },
    "accessed": {
      "date-parts": [
        [
          2026,
          11,
          15
        ]
      ]
    },
    "license": "CC BY-SA 4.0",
    "DOI": "eo1:enwiki-001373698791",
    "isBasedOn": "https://en.wikipedia.org/w/index.php?oldid=1373698791",
    "note": "Immutable snapshot enwiki-001373698791"
  }
}