{
  "annotation_id": "94d0be26-528d-41de-a339-c0b84d0deb4d",
  "date_created": "2026-03-02T18:01:24.718000Z",
  "date_modified": "2026-03-02T18:01:24.718000Z",
  "file_hash": "5bdea6fcc3f5bdf4aef26a475668854859acdca8581e2eaadeaf8c7275a5e342",
  "private": false,
  "record": {
    "abstract": "We introduce the notion of ``local system of $\\Bbb{Z}_{T}$-twisted vertex\noperators\u0027\u0027 on a $\\Bbb{Z}_{2}$-graded vector space $M$, generalizing the notion\nof local system of vertex operators [Li]. First, we prove that any local system\nof $\\Bbb{Z}_{T}$-twisted vertex operators on $M$ has a vertex superalgebra\nstructure with an automorphism $\\sigma$ of order $T$ with $M$ as a\n$\\sigma$-twisted module. Then we prove that for a vertex (operator)\nsuperalgebra $V$ with an automorphism $\\sigma$ of order $T$, giving a\n$\\sigma$-twisted $V$-module $M$ is equivalent to giving a vertex (operator)\nsuperalgebra homomorphism from $V$ to some local system of\n$\\Bbb{Z}_{T}$-twisted vertex operators on $M$. As applications, we study the\ntwisted modules for vertex operator (super)algebras associated to some\nwell-known infinite-dimensional Lie (super)algebras and we prove the complete\nreducibility of $\\Bbb{Z}_{T}$-twisted modules for vertex operator algebras\nassociated to standard modules for an affine Lie algebra.",
    "arxiv_id": "q-alg/9504022",
    "authors": [
      "Haisheng Li"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "title": "Local systems of twisted vertex operators, vertex operator superalgebras   and twisted modules",
    "url": "https://arxiv.org/abs/q-alg/9504022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ae7d7501-8184-4040-bdfc-1ff7dc477ef6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}