{
  "annotation_id": "b01cc812-ec80-40cf-abec-9dd3730591b0",
  "date_created": "2026-03-02T18:01:28.642000Z",
  "date_modified": "2026-03-02T18:01:28.642000Z",
  "file_hash": "9bf23741fd214c599c26833807947179e5fc825d92005c65af87a4fb0ef98244",
  "private": false,
  "record": {
    "abstract": "We construct irreducible modules V_{\\alpha}, \\alpha \\in \\C over W_3 algebra\nwith c = -2 in terms of a free bosonic field. We prove that these modules\nexhaust all the irreducible modules of W_3 algebra with c = -2. Highest weights\nof modules V_{\\alpha}, \\alpha \\in \\C with respect to the full (two-dimensional)\nCartan subalgebra of W_3 algebra are (\\alpha(\\alpha -1)/2, \\alpha(\\alpha\n-1)(2\\alpha -1)/6). They are parametrized by points (t, w) on a rational curve\nw^2 - t^2 (8t + 1)/9 = 0. Irreducible modules of vertex algebra W_{1+\\infty}\nwith c = -1 are also classified.",
    "arxiv_id": "q-alg/9708016",
    "authors": [
      "Weiqiang Wang"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/s002200050382",
    "title": "Classification of irreducible modules of W_3 algebra with c = -2",
    "url": "https://arxiv.org/abs/q-alg/9708016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f59ab076-570b-4227-a67c-3ae8353c1c21",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}