{
  "annotation_id": "10f931ee-f176-4246-b20a-4d0323951ef4",
  "date_created": "2026-03-02T18:01:18.492000Z",
  "date_modified": "2026-03-02T18:01:18.492000Z",
  "file_hash": "12d25ae59400c497303125d07f900ed35b4ecd2b9d780784837d32ea401c233d",
  "private": false,
  "record": {
    "abstract": "In this paper, we study Lie superalgebras of $2\\times 2$ matrix-valued\nfirst-order differential operators on the complex line. We first completely\nclassify all such superalgebras of finite dimension. Among the\nfinite-dimensional superalgebras whose odd subspace is nontrivial, we find\nthose admitting a finite-dimensional invariant module of smooth vector-valued\nfunctions, and classify all the resulting finite-dimensional modules. The\nlatter Lie superalgebras and their modules are the building blocks in the\nconstruction of QES quantum mechanical models for spin 1/2 particles in one\ndimension.",
    "arxiv_id": "physics/9702015",
    "authors": [
      "Federico Finkel",
      "Artemio Gonz\u00e1lez-L\u00f3pez",
      "Miguel A. Rodr\u00edguez"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/30/19/024",
    "journal_ref": "J.Phys.A30:6879-6892,1997",
    "title": "Quasi-exactly Solvable Lie Superalgebras of Differential Operators",
    "url": "https://arxiv.org/abs/physics/9702015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7dde64b0-dd01-46ce-abf6-003aae415248",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}