{
  "annotation_id": "4e0d77ac-a318-42c4-9977-3519c960266b",
  "date_created": "2026-03-02T18:01:28.718000Z",
  "date_modified": "2026-03-02T18:01:28.718000Z",
  "file_hash": "bf8febefbc1bd74e16870df19866ba68b29ba1a3ec32d64960a46112df84e325",
  "private": false,
  "record": {
    "abstract": "In this paper we review the coset construction for winding subalgebras of\naffine Lie algebras. We classify all cosets of central charge $\\hat c\u003c1$ and\ncalculate their branching rules. The corresponding character identities give\ncertain `doubling formulae\u0027 for the affine characters. We discuss some\napplications of our construction, in particular we find a simple proof of a\ncrucial identity needed for the computation of the level-2 root multiplicities\nof the hyperbolic Kac-Moody algebra $E_{10}$.",
    "arxiv_id": "q-alg/9610013",
    "authors": [
      "Peter Bouwknegt"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "title": "Coset construction for winding subalgebras and applications",
    "url": "https://arxiv.org/abs/q-alg/9610013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d0769da-d582-406e-a3ef-49883b1d3759",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}