{
  "annotation_id": "55617671-076c-4753-9aeb-9409e1cccf7f",
  "date_created": "2026-03-02T18:01:24.715000Z",
  "date_modified": "2026-03-02T18:01:24.715000Z",
  "file_hash": "1bd1e6c435ebe0b2c8de161c68c2de61c2071748eba68486dd2d2aa909608fbf",
  "private": false,
  "record": {
    "abstract": "We examine the two parameter deformed superalgebra $U_{qs}(sl(1|2))$ and use\nthe results in the construction of quantum chain Hamiltonians. This study is\ndone both in the framework of the Serre presentation and in the $R$-matrix\nscheme of Faddeev, Reshetikhin and Takhtajan (FRT). We show that there exists\nan infinite number of Casimir operators, indexed by integers $p \u003e 1$ in the\nundeformed case and by $p \\in Z$ in the deformed case, which obey quadratic\nrelations. The construction of the dual superalgebra of functions on\n$SL_{qs}(1|2)$ is also given and higher tensor product representations are\ndiscussed. Finally, we construct quantum chain Hamiltonians based on the\nCasimir operators. In the deformed case we find two Hamiltonians which describe\ndeformed $t-J$ models.",
    "arxiv_id": "q-alg/9503021",
    "authors": [
      "D. Arnaudon",
      "C. Chryssomalakos",
      "L. Frappat"
    ],
    "categories": [
      "q-alg",
      "cond-mat",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1063/1.531261",
    "journal_ref": "J.Math.Phys. 36 (1995) 5262-5283",
    "title": "Classical and Quantum sl(1|2) Superalgebras, Casimir Operators and   Quantum Chain Hamiltonians",
    "url": "https://arxiv.org/abs/q-alg/9503021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "45333ebe-653b-4621-9c44-27bab030ec6f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}