{
  "annotation_id": "3ba3e30d-2ef3-4a53-9922-f3bf249507c1",
  "date_created": "2026-03-02T18:02:50.962000Z",
  "date_modified": "2026-03-02T18:02:50.962000Z",
  "file_hash": "c264bd2390fec0c5d30dd4fa994813219507a866d7a08da9d1b8573a4723a31d",
  "private": false,
  "record": {
    "abstract": "We prove that the tau-function of the integrable discrete sine-Gordon model\napart from the \"standard\" bilinar identities obeys a number of \"non-standard\"\nones. They can be combined into a bivector 3-dimensional difference equation\nwhich is shown to contain Hirota\u0027s difference analogue of the sine-Gordon\nequation and both auxiliary linear problems for it. We observe that this\nequation is most naturally written in terms of the quantum R-matrix for the XXZ\nspin chain and looks then like a relation of the \"vertex-face correspondence\"\ntype.",
    "arxiv_id": "solv-int/9810003",
    "authors": [
      "A. Zabrodin"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "title": "Tau-function for discrete sine-Gordon equation and quantum R-matrix",
    "url": "https://arxiv.org/abs/solv-int/9810003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d42dd70a-5471-4b4b-973a-cd00a37a1ca0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}