{
  "annotation_id": "f783d4ce-51fe-4647-a8d5-052f0cb09e7b",
  "date_created": "2026-03-02T18:01:28.545000Z",
  "date_modified": "2026-03-02T18:01:28.545000Z",
  "file_hash": "877e00362df7b76b10fe5b3b7302039b587c3b856654e6fa0597d8c8ff4ded5b",
  "private": false,
  "record": {
    "abstract": "The fusion rules for the $(p,q)$-minimal model representations of the\nVirasoro algebra are shown to come from the group $G = \\boZ_2^{p+q-5}$ in the\nfollowing manner. There is a partition $G = P_1 \\cup ...\\cup P_N$ into disjoint\nsubsets and a bijection between $\\{P_1,...,P_N\\}$ and the sectors\n$\\{S_1,...,S_N\\}$ of the $(p,q)$-minimal model such that the fusion rules $S_i\n* S_j = \\sum_k D(S_i,S_j,S_k) S_k$ correspond to $P_i * P_j = \\sum_{k\\in\nT(i,j)} P_k$ where $T(i,j) = \\{k|\\exists a\\in P_i,\\exists b\\in P_j, a+b\\in\nP_k\\}$.",
    "arxiv_id": "q-alg/9601004",
    "authors": [
      "Fusun Akman",
      "Alex J. Feingold",
      "Michael D. Weiner"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "journal_ref": "Lett.Math.Phys. 40 (1997) 159-169",
    "title": "Minimal model fusion rules from 2-groups",
    "url": "https://arxiv.org/abs/q-alg/9601004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "22930b7e-2ced-4fb3-9c9f-97c0ae6890be",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}