{
  "annotation_id": "04f8aeb9-81fe-4fbc-8a7b-078c4f8ebc30",
  "date_created": "2026-03-02T18:01:28.467000Z",
  "date_modified": "2026-03-02T18:01:28.467000Z",
  "file_hash": "962a753728306719a90a318437cade8631211380a47367b7b13e0dc563b719d7",
  "private": false,
  "record": {
    "abstract": "It is well known that the bosonized version of the Wakimoto construction\nallows the explicit realization of any affine algebra $\\widehat{g}$, with\narbitrary level $k$ in the homogeneous gradation, in terms of $dim(g)$ free\nbosonic fields. In this paper, we show in the case of the simplest affine\nalgebra $\\widehat{sl(2)}$, that the bosonized Wakimoto realization can be\nextended to the principal gradation only when $k$ is equal to the critical\nlevel, i.e., -2. In this case, this construction can be achieved in terms of\narbitrary number (larger than 1) of free bosonic fields.",
    "arxiv_id": "q-alg/9604020",
    "authors": [
      "A. H. Bougourzi"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Wakimoto construction in the principal gradation",
    "url": "https://arxiv.org/abs/q-alg/9604020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4e2495be-6e34-4940-85c4-c85591522576",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}