{
  "annotation_id": "dd2000d3-5873-4ef4-a14e-568bcd6e384b",
  "date_created": "2026-03-02T18:01:21.744000Z",
  "date_modified": "2026-03-02T18:01:21.744000Z",
  "file_hash": "780f833e0ab5bd269d554f456f2a64d312c3504104f988f5bcc919e00bee203d",
  "private": false,
  "record": {
    "abstract": "We construct two quantum spin chains Hamiltonians with quantum sl(2|1)\ninvariance. These spin chains define variants of the Hubbard model and describe\nelectron models with pair hoppings. A cubic algebra that admits the\nBirman-Wenzl-Murakami algebra as a quotient allows exact solvability of the\nperiodic chain. The two Hamiltonians, respectively built using the\ndistinguished and the fermionic bases of U_q(sl(2|1)) differ only in the\nboundary terms. They are actually equivalent, but the equivalence is non local.\nReflection equations are solved to get exact solvability on open chains with\nnon trivial boundary conditions. Two families of diagonal solutions are found.\nThe centre and the Scasimirs of the quantum enveloping algebra of sl(2|1)\nappear as tools for the construction of exactly solvable Hamiltonians.",
    "arxiv_id": "physics/9711001",
    "authors": [
      "Daniel Arnaudon"
    ],
    "categories": [
      "math-ph",
      "cond-mat.str-el",
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "doi": "10.1088/1126-6708/1997/12/006",
    "journal_ref": "JHEP 9712:006,1997",
    "title": "Algebraic approach to q-deformed supersymmetric variants of the Hubbard   model with pair hoppings",
    "url": "https://arxiv.org/abs/physics/9711001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "523e864d-6916-444c-97fe-23dfda612aa1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}