{
  "annotation_id": "64922a06-58c1-4590-9c09-85b8318036fd",
  "date_created": "2026-03-02T18:00:32.724000Z",
  "date_modified": "2026-03-02T18:00:32.724000Z",
  "file_hash": "0d28f5a36da65880dd05fbfdd204511d1b36369f007594dbfc396c369d0dfdb2",
  "private": false,
  "record": {
    "abstract": "We discuss some properties of the intrinsically nonlinear Clebsch\ndecomposition of a vector field into three scalars in d=3. In particular, we\nnote and account for the incompleteness of this parameterization when\nattempting to use it in variational principles involving Maxwell and\nChern-Simons actions. Similarities with string decomposition of metrics and\ntheir actions are also pointed out.",
    "arxiv_id": "physics/0006056",
    "authors": [
      "S. Deser",
      "R. Jackiw",
      "A. P. Polychronakos"
    ],
    "categories": [
      "physics.flu-dyn",
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.gen-ph"
    ],
    "doi": "10.1016/S0375-9601(00)00851-3",
    "journal_ref": "Phys.Lett.A279:151-153,2001",
    "title": "Clebsch (String) Parameterization of 3-Vectors and Their Actions",
    "url": "https://arxiv.org/abs/physics/0006056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "063fced3-5543-47d9-ba5d-503f4d094879",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}