{
  "annotation_id": "fd309618-eaad-4b58-aebd-10f28152532c",
  "date_created": "2026-03-02T18:01:28.482000Z",
  "date_modified": "2026-03-02T18:01:28.482000Z",
  "file_hash": "2769f6fe70a99b19e440ae5eb1c793faf04e9e9e8fd1760de1db217ddf61deb9",
  "private": false,
  "record": {
    "abstract": "Within the framework of the discrete Wess-Zumino-Novikov-Witten theory we\nanalyze the structure of vertex operators on a lattice. In particular, the\nlattice analogues of operator product expansions and braid relations are\ndiscussed. As the main physical application, a rigorous construction for the\ndiscrete counterpart g_n of the group valued field g(x) is provided. We study\nseveral automorphisms of the lattice algebras including discretizations of the\nevolution in the WZNW model. Our analysis is based on the theory of modular\nHopf algebras and its formulation in terms of universal elements. Algebras of\nvertex operators and their structure constants are obtained for the deformed\nuniversal enveloping algebras U_q(G). Throughout the whole paper, the abelian\nWZNW model is used as a simple example to illustrate the steps of our\nconstruction.",
    "arxiv_id": "q-alg/9611010",
    "authors": [
      "A. G. Bytsko",
      "V. Schomerus"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/s002200050263",
    "journal_ref": "Commun.Math.Phys. 191 (1998) 87-136",
    "title": "Vertex Operators - From a Toy Model to Lattice Algebras",
    "url": "https://arxiv.org/abs/q-alg/9611010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "118607f7-784f-4fba-a564-b8b0e6e97a03",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}