{
  "annotation_id": "acfa60cf-5773-4f80-9795-631ad6852207",
  "date_created": "2026-03-02T18:02:51.612000Z",
  "date_modified": "2026-03-02T18:02:51.612000Z",
  "file_hash": "da6bed1d2055b8de719a63783a694008f42358c481c248213076227928a9bb0b",
  "private": false,
  "record": {
    "abstract": "We introduce a class of cellular automata associated with crystals of\nirreducible finite dimensional representations of quantum affine algebras\nU\u0027_q(\\hat{\\geh}_n). They have solitons labeled by crystals of the smaller\nalgebra U\u0027_q(\\hat{\\geh}_{n-1}). We prove stable propagation of one soliton for\n\\hat{\\geh}_n = A^{(2)}_{2n-1}, A^{(2)}_{2n}, B^{(1)}_n, C^{(1)}_n, D^{(1)}_n\nand D^{(2)}_{n+1}. For \\gh_n = C^{(1)}_n, we also prove that the scattering\nmatrices of two solitons coincide with the combinatorial R matrices of\nU\u0027_q(C^{(1)}_{n-1})-crystals.",
    "arxiv_id": "solv-int/9907020",
    "authors": [
      "Goro Hatayama",
      "Atsuo Kuniba",
      "Taichiro Takagi"
    ],
    "categories": [
      "solv-int",
      "math.QA",
      "nlin.SI"
    ],
    "doi": "10.1016/S0550-3213(00)00105-X",
    "journal_ref": "Nuclear Physics B577[PM](2000) 619-645",
    "title": "Soliton Cellular Automata Associated With Crystal Bases",
    "url": "https://arxiv.org/abs/solv-int/9907020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b84ba141-8429-4cc9-a23b-9bb1b3ea33d8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}