{
  "annotation_id": "b1299d2b-0618-4132-9b03-6b23f1058ec5",
  "date_created": "2026-03-02T18:01:28.822000Z",
  "date_modified": "2026-03-02T18:01:28.822000Z",
  "file_hash": "f114da6e504b89d8c1cc51d24ede52727eec39aeaa3a13516dd9bb7c2e305774",
  "private": false,
  "record": {
    "abstract": "The differential and variational calculus on the $SL_{q}(2,R)$ group is\nconstructed. The spontaneous breaking symmetry in the WZNW model with\n$SL_{q}(2,R)$ quantum group symmetry and in the $\\sigma$-models with\n${SL_{q}(2,R)/U_{h}(1)}$ ,$C_{q}(2|0)$ quantum group symmetry is considered.\nThe Lagrangian formalism over the quantum group manifolds is discussed. The\nclassical solution of $C_{q}(2|0)$ {$\\sigma$}-model is obtained.",
    "arxiv_id": "q-alg/9709022",
    "authors": [
      "V. D. Gershun"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BFb0105263",
    "title": "$\\sigma$-models on the quantum group manifolds $SL_{q}(2,R)$,   $SL_{q}(2,R)/U_{h}(1)$, $C_{q}(2|0)$ and infinitesimal trasformations",
    "url": "https://arxiv.org/abs/q-alg/9709022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8a46db19-a572-4f8b-bed6-a88952922ac1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}