{
  "annotation_id": "7eb707c7-b54f-48cb-9271-336c6a7879f0",
  "date_created": "2026-03-02T18:01:24.960000Z",
  "date_modified": "2026-03-02T18:01:24.960000Z",
  "file_hash": "3b9dbf25fe724dfae9ae749c2a119c5d0707dae2effe71253afb008dec5054ff",
  "private": false,
  "record": {
    "abstract": "We define quantum W-algebras generalizing the results of Reshetikhin and the\nsecond author, and Shiraishi-Kubo-Awata-Odake. The quantum W-algebra associated\nto sl_N is an associative algebra depending on two parameters. For special\nvalues of parameters it becomes the ordinary W-algebra of sl_N, or the\nq-deformed classical W-algebra of sl_N. We construct free field realizations of\nthe quantum W-algebras and the screening currents. We also point out some\ninteresting elliptic structures arising in these algebras. In particular, we\nshow that the screening currents satisfy elliptic analogues of the Drinfeld\nrelations in U_q(n^).",
    "arxiv_id": "q-alg/9508009",
    "authors": [
      "Boris Feigin",
      "Edward Frenkel"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/BF02108819",
    "journal_ref": "Commun.Math.Phys. 178 (1996) 653-678",
    "title": "Quantum W-algebras and Elliptic Algebras",
    "url": "https://arxiv.org/abs/q-alg/9508009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bb7f0d33-0b11-4099-90c4-b32a126a8fa5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}