{
  "annotation_id": "08c83220-14d8-4cf8-9795-f41a482600c0",
  "date_created": "2026-03-02T18:01:21.745000Z",
  "date_modified": "2026-03-02T18:01:21.745000Z",
  "file_hash": "62cf7499aabd3822320c31e6d63c860ec4b527285814abf7ec0a61beb99c5726",
  "private": false,
  "record": {
    "abstract": "We generalise the notion of coherent states to arbitrary Lie algebras by\nmaking an analogy with the GNS construction in $C^*$-algebras. The method is\nillustrated with examples of semisimple and non-semisimple finite dimensional\nLie algebras as well as loop and Kac-Moody algebras.\n  A deformed addition on the parameter space is also introduced simplifying\nsome expressions and some applications to conformal field theory is pointed\nout, e.g. are differential operator and free field realisations found.\n  PACS: 02.20.S, 03.65.F, 11.25.H\n  Keywords: coherent states, Lie and Kac-Moody algebras, realisations.",
    "arxiv_id": "physics/9710032",
    "authors": [
      "Frank Antonsen"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "journal_ref": "Int.J.Theor.Phys. 38 (1999) 675-700",
    "title": "Coherent States on Lie Algebras: A Constructive Approach",
    "url": "https://arxiv.org/abs/physics/9710032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6a9554ee-7b9f-4cdb-b5bc-707d3ba807d9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}