{
  "annotation_id": "3b622a2e-798a-4c2f-ac0d-73c8a59cd257",
  "date_created": "2026-03-02T18:01:28.415000Z",
  "date_modified": "2026-03-02T18:01:28.415000Z",
  "file_hash": "4188adb89966f09ae337694245cb3f15056cea1eb8b9952e9db1790ffaebd1aa",
  "private": false,
  "record": {
    "abstract": "We study the vertex operators $\\Phi(z)$ associated with standard quantum\ngroups. The element $Z = RR^{t}$ is a \"Casimir operator\" for quantized\nKac-Moody algebras and the quantum Knizhnik-Zamolodchikov (q-KZ) equation is\ninterpreted as the statement $:Z\\Phi(z): = \\Phi(z)$. We study the covariance of\nthe q-KZ equation under twisting, first within the category of Hopf algebras,\nand then in the wider context of quasi Hopf algebras. We obtain the\nintertwining operators associated with the elliptic R-matrix and calculate the\ntwo-point correlation function for the eight-vertex model.",
    "arxiv_id": "q-alg/9709028",
    "authors": [
      "C. Fronsdal",
      "A. Galindo"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1142/S0129055X98000331",
    "journal_ref": "Rev. Math. Phys. 10 (1998) 1027-1059",
    "title": "8-Vertex Correlation Functions and Twist Covariance of q-KZ Equation",
    "url": "https://arxiv.org/abs/q-alg/9709028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8610333f-d3f3-41a0-8cb6-5d6cb7a79198",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}