{
  "annotation_id": "c1e6edd5-7b13-4224-9ab5-92dca92eec53",
  "date_created": "2026-03-02T18:01:27.664000Z",
  "date_modified": "2026-03-02T18:01:27.664000Z",
  "file_hash": "243b7be03f6a790aa1f4d65fdee146fb5ff1e149d7cf37b8736ef7bacc679583",
  "private": false,
  "record": {
    "abstract": "Investigated is a variant of the Wess-Zumino-Witten model called a twisted\nWZW model, which is associated to a certain Lie group bundle on a family of\nelliptic curves. The Lie group bundle is a non-trivial bundle with flat\nconnection and related to the classical elliptic r-matrix. (The usual\n(non-twisted) WZW model is associated to a trivial group bundle with trivial\nconnection on a family of compact Riemann surfaces and a family of its\nprincipal bundles.) The twisted WZW model on a fixed elliptic curve at the\ncritical level describes the XYZ Gaudin model. The elliptic\nKnizhnik-Zamolodchikov equations associated to the classical elliptic r-matrix\nappear as flat connections on the sheaves of conformal blocks in the twisted\nWZW model.",
    "arxiv_id": "q-alg/9612033",
    "authors": [
      "Gen Kuroki",
      "Takashi Takebe"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/s002200050233",
    "journal_ref": "Commun.Math.Phys. 190 (1997) 1-56",
    "title": "Twisted Wess-Zumino-Witten models on elliptic curves",
    "url": "https://arxiv.org/abs/q-alg/9612033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "638a4d01-609c-46ed-aa19-ca8cf086663d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}