{
  "annotation_id": "b39995c3-7d8d-40d0-af7e-12a4359ebce6",
  "date_created": "2026-03-02T18:02:51.157000Z",
  "date_modified": "2026-03-02T18:02:51.157000Z",
  "file_hash": "29bc378b26053d7c82a17dfae60c215b01c997c921fd229c7fdcf101adcc3154",
  "private": false,
  "record": {
    "abstract": "The local Sugawara constructions of the \"small\" N=4 SCA in terms of\nsupercurrents of N=2 extensions of the affinization of the sl(2|1) and sl(3)\nalgebras are investigated. The associated super mKdV type hierarchies induced\nby N=4 SKdV ones are defined. In the sl(3) case the existence of two\ninequivalent Sugawara constructions is found. The long one involves all the\naffine sl(3)-valued currents, while the \"short\" one deals only with those from\nthe subalgebra sl(2)\\oplus u(1). As a consequence, the sl(3)-valued affine\nsuperfields carry two inequivalent mKdV type super hierarchies induced by the\ncorrespondence between \"small\" N=4 SCA and N=4 SKdV hierarchy. However, only\nthe first hierarchy posseses genuine global N=4 supersymmetry. We discuss\npeculiarities of the realization of this N=4 supersymmetry on the affine\nsupercurrents.",
    "arxiv_id": "solv-int/9912003",
    "authors": [
      "E. Ivanov",
      "S. Krivonos",
      "F. Toppan"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "doi": "10.1142/S0217732399002819",
    "journal_ref": "Mod.Phys.Lett. A14 (1999) 2673-2686",
    "title": "N=4 Sugawara construction on affine sl(2|1), sl(3) and mKdV-type   superhierarchies",
    "url": "https://arxiv.org/abs/solv-int/9912003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b0f7f4b9-d324-45de-9c15-a484cf59f9ea",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}