{
  "annotation_id": "f92aba3a-9f33-4fc5-997c-21381033f5fc",
  "date_created": "2026-03-02T18:01:25.406000Z",
  "date_modified": "2026-03-02T18:01:25.406000Z",
  "file_hash": "158db18d9b4802945f2c7e9dec8b696666b492284a1dfd11ae345090d4a5cb2e",
  "private": false,
  "record": {
    "abstract": "The characters $\\chi_\\mu$ of nontwisted affine algebras at fixed level define\nin a natural way a representation $R$ of the modular group $SL_2(Z)$. The\nmatrices in the image $R(SL_2(Z))$ are called the Kac-Peterson modular\nmatrices, and describe the modular behaviour of the characters. In this paper\nwe consider all levels of $(A_{r_1}\\oplus\\cdots\\oplus A_{r_s})^{(1)}$, and for\neach of these find all permutations of the highest weights which commute with\nthe corresponding Kac-Peterson matrices. This problem is equivalent to the\nclassification of automorphism invariants of conformal field theories, and its\nsolution, especially considering its simplicity, is a major step toward the\nclassification of all Wess-Zumino-Witten conformal field theories.",
    "arxiv_id": "q-alg/9502004",
    "authors": [
      "Terry Gannon"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF01231448",
    "title": "Symmetries of the Kac-Peterson Modular Matrices of Affine Algebras",
    "url": "https://arxiv.org/abs/q-alg/9502004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8487d441-c67d-4db4-ad6b-a66703c1f991",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}