{
  "annotation_id": "f02184dd-8674-4582-9b8a-56bd5e6eb830",
  "date_created": "2026-03-02T18:02:51.153000Z",
  "date_modified": "2026-03-02T18:02:51.153000Z",
  "file_hash": "c4ac4e898dfe1a02ae34371254298da208c75a34f57149227f772712268866b2",
  "private": false,
  "record": {
    "abstract": "We obtain the collection of symmetric and symplectic matrix integrals and the\ncollection of Pfaffian tau-functions, recently described by Peng and Adler and\nvan Moerbeke, as specific elements in the Spin-group orbit of the vacuum vector\nof a fermionic Fock space. This fermionic Fock space is the same space as one\nconstructs to obtain the KP and 1-Toda lattice hierarchy.",
    "arxiv_id": "solv-int/9909028",
    "authors": [
      "Johan van de Leur"
    ],
    "categories": [
      "solv-int",
      "adap-org",
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "journal_ref": "J.Nonlin.Math.Phys. 8 (2001) 288-310",
    "title": "Matrix integrals and the geometry of spinors",
    "url": "https://arxiv.org/abs/solv-int/9909028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8687ae45-ed68-4d69-a023-6cd9610c6305",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}