{
  "annotation_id": "9cb003d3-c8fb-4a30-8e23-47a39d51728a",
  "date_created": "2026-03-02T18:01:27.946000Z",
  "date_modified": "2026-03-02T18:01:27.946000Z",
  "file_hash": "43f8d02cab0c59de83fd7ea55da34f58e2c729d1a952cfe6ac7ef712df67153a",
  "private": false,
  "record": {
    "abstract": "The shadow V\u0027 of a self-dual vertex operator superalgebra V is defined as the\ndirect sum of the irreducible modules of its even vertex operator subalgebra\n$V_{(0)}$ not contained in $V=V_{(0)}+V_{(1)}$. We describe the self-dual\n``very nice\u0027\u0027 unitary rational vertex operator superalgebras V of rank c whose\nshadows have the largest possible minimal weights c/8 or c/8-1. The results are\nanalogous to and imply the corresponding results for self-dual binary codes and\nlattices.",
    "arxiv_id": "q-alg/9608023",
    "authors": [
      "Gerald Hoehn"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Internat. Math. Res. Notices, 1997, no. 13, 613-621",
    "title": "Self-dual Vertex Operator Superalgebras with Shadows of large minimal   weight",
    "url": "https://arxiv.org/abs/q-alg/9608023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e45f95bc-0f17-4578-8a64-2398cd4d8df9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}