{
  "annotation_id": "a84d3aea-23b6-4f68-a16e-d966b3772032",
  "date_created": "2026-03-02T18:01:28.362000Z",
  "date_modified": "2026-03-02T18:01:28.362000Z",
  "file_hash": "3d91bf4919d6f65e4a48ef09b110923d0b9961688ac985551de6a9811d819faf",
  "private": false,
  "record": {
    "abstract": "We apply the general theory of tensor products of modules for a vertex\noperator algebra developed in our papers hep-th/9309076, hep-th/9309159,\nhep-th/9401119, q-alg/9505018, q-alg/9505019 and q-alg/9505020 to the case of\nthe Wess-Zumino-Novikov-Witten models and related models in conformal field\ntheory. We show that for the category of modules for a vertex operator algebra\ncontaining a subalgebra isomorphic to a tensor product of rational vertex\noperator algebras associated to affine Lie algebras, the intertwining operators\namong the modules have the associativity property, the category has a natural\nstructure of vertex tensor category, and a number of related results hold. We\nobtain, as a corollary and special case, a construction of the\npreviously-studied braided tensor category structure on the category of finite\ndirect sums of standard (integrable highest weight) modules of a fixed positive\nintegral level for an affine Lie algebra.",
    "arxiv_id": "q-alg/9706028",
    "authors": [
      "Yi-Zhi Huang",
      "James Lepowsky"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "title": "Intertwining operator algebras and vertex tensor categories for affine   Lie algebras",
    "url": "https://arxiv.org/abs/q-alg/9706028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8c6ed8a3-1ffb-4bb7-bd4c-6f7b6ea3791e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}