{
  "annotation_id": "227d8e62-1b74-4419-ba24-10867051b652",
  "date_created": "2026-03-02T18:01:28.845000Z",
  "date_modified": "2026-03-02T18:01:28.845000Z",
  "file_hash": "4fe0b28e2b186375b6e9c3212f9ba6b5fa8f227b099e64cbcb8ae7e3a5fe0e16",
  "private": false,
  "record": {
    "abstract": "We find that there is an alternative possibility to define the chirality\noperator on the fuzzy sphere, due to the ambiguity of the operator ordering.\nAdopting this new chirality operator and the corresponding Dirac operator, we\ndefine Connes\u0027 spectral triple on the fuzzy sphere and the differential\ncalculus. The differential calculus based on this new spectral triple is\nsimplified considerably. Using this formulation the action of the scalar field\nis derived.",
    "arxiv_id": "q-alg/9710034",
    "authors": [
      "Ursula Carow-Watamura",
      "Satoshi Watamura"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1142/S0217751X9800161X",
    "journal_ref": "Int.J.Mod.Phys. A13 (1998) 3235-3244",
    "title": "Differential Calculus on Fuzzy Sphere and Scalar Field",
    "url": "https://arxiv.org/abs/q-alg/9710034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "81dd3865-c6d3-46c8-b9f6-6369845d45c4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}