{
  "annotation_id": "4b4d2408-e399-42a1-8dd0-c00cf890424f",
  "date_created": "2026-03-02T18:00:46.923000Z",
  "date_modified": "2026-03-02T18:00:46.923000Z",
  "file_hash": "2d8229a2f060d2ce83f7fcf0458811e31d203496348ebe242e04fa4c32e55822",
  "private": false,
  "record": {
    "abstract": "We study the information metric on instanton moduli spaces in two-dimensional\nnonlinear sigma models. In the CP^1 model, the information metric on the moduli\nspace of one instanton with the topological charge Q=k which is any positive\ninteger is a three-dimensional hyperbolic metric, which corresponds to\nEuclidean anti--de Sitter space-time metric in three dimensions, and the\noverall scale factor of the information metric is (4k^2)/3; this means that the\nsectional curvature is -3/(4k^2). We also calculate the information metric in\nthe CP^2 model.",
    "arxiv_id": "physics/0307131",
    "authors": [
      "Shigeaki Yahikozawa"
    ],
    "categories": [
      "physics.data-an",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevE.69.026122",
    "journal_ref": "Phys.Rev. E69 (2004) 026122",
    "title": "Information Metric on Instanton Moduli Spaces in Nonlinear Sigma Models",
    "url": "https://arxiv.org/abs/physics/0307131"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "759c1f37-4b60-48d2-b8fc-6974ad6a88a7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}