{
  "annotation_id": "23479274-fd8a-496f-9a2f-27f7269a84e7",
  "date_created": "2026-03-02T18:01:28.410000Z",
  "date_modified": "2026-03-02T18:01:28.410000Z",
  "file_hash": "4169482de357ca416a7f77deb14434e62f2d7be5374760661d2f40d73c4237f8",
  "private": false,
  "record": {
    "abstract": "We construct lattice gauge field theory based on a quantum group on a lattice\nof dimension 1. Innovations include a coalgebra structure on the connections,\nand an investigation of connections that are not distinguishable by\nobservables. We prove that when the quantum group is a deformation of a\nconnected algebraic group (over the complex numbers), then the algebra of\nobservables forms a deformation quantization of the ring of characters of the\nfundamental group of the lattice with respect to the corresponding algebraic\ngroup. Finally, we investigate lattice gauge field theory based on quantum\nSL(2,C), and conclude that the algebra of observables is the Kauffman bracket\nskein module of a cylinder over a surface associated to the lattice.",
    "arxiv_id": "q-alg/9710003",
    "authors": [
      "Doug Bullock",
      "Charles Frohman",
      "Joanna Kania-Bartoszy\u0144ska"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/s002200050471",
    "journal_ref": "Commun.Math.Phys. 198 (1998) 47-81",
    "title": "Topological Interpretations of Lattice Gauge Field Theory",
    "url": "https://arxiv.org/abs/q-alg/9710003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "21eaad3a-ff40-432b-a076-0daf98b94ca9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}