{
  "annotation_id": "946ac926-8986-4753-bb88-27df365c1b9b",
  "date_created": "2026-03-02T18:02:51.280000Z",
  "date_modified": "2026-03-02T18:02:51.280000Z",
  "file_hash": "0c0bd70719800ac1846ac33a036cacad20677ac47ec44268871229ef5ffa7932",
  "private": false,
  "record": {
    "abstract": "We derive and classify all regular solutions of the boundary Yang-Baxter\nequation for 19-vertex models known as Zamolodchikov-Fateev or $A_{1}^{(1)}$\nmodel, Izergin-Korepin or $A_{2}^{(2)}$ model, sl(2|1) model and osp(2|1)\nmodel. We find that there is a general solution for $A_{1}^{(1)}$ and sl(2|1)\nmodels. In both models it is a complete K-matrix with three free parameters.\nFor the $A_{2}^{(2)}$ and osp(2|1) models we find three general solutions,\nbeing two complete reflection K-matrices solutions and one incomplete\nreflection K-matrix solution with some null entries. In both models these\nsolutions have two free parameters. Integrable spin-1 Hamiltonians with general\nboundary interactions are also presented. Several reduced solutions from these\ngeneral solutions are presented in the appendices.",
    "arxiv_id": "solv-int/9906003",
    "authors": [
      "A. Lima-Santos"
    ],
    "categories": [
      "solv-int",
      "cond-mat.stat-mech",
      "hep-th",
      "nlin.SI"
    ],
    "doi": "10.1016/S0550-3213(99)00456-3",
    "journal_ref": "Nucl. Phys. B 558 [PM] 637-667",
    "title": "Reflection K-Matrices for 19-Vertex Models",
    "url": "https://arxiv.org/abs/solv-int/9906003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eb79490f-cf3f-4843-94e9-28d8b9b0297d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}