{
  "annotation_id": "011405c4-2af1-45db-9017-8ce72a98d226",
  "date_created": "2026-02-17T05:53:20.511000Z",
  "date_modified": "2026-02-17T05:53:20.511000Z",
  "file_hash": "d86b32b6887c4942754622e7f9f491a79a052c4ec7c228c0c5776cad3782ff8a",
  "private": false,
  "record": {
    "abstract": "We present explicit matrix product operator (MPO) representations for the local conserved quantities of the spin-$1/2$ XYZ chain. Through these MPO representations, we simplify the coefficients appearing in the local conserved quantities originally derived by one of the authors, and reveal their combinatorial meaning: the coefficients prove to be a polynomial generalization of the Catalan numbers, defined via weighted monotonic lattice paths. Furthermore, we obtain a new simple $3 \\times 3$ Lax operator for the XYZ chain that, unlike Baxter\u0027s R-matrix, does not involve elliptic functions.",
    "arxiv_id": "2601.09245",
    "authors": [
      "Kohei Fukai",
      "Kyoichi Yamada"
    ],
    "categories": [
      "nlin.SI",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Matrix product operator representations for the local conserved quantities of the spin-$1/2$ XYZ chain",
    "url": "https://arxiv.org/abs/2601.09245",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f2051338-eeb8-435a-b2d3-c19cf27d8f4d",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}