{
  "annotation_id": "faa57305-c262-4416-83ac-837da2960802",
  "date_created": "2026-03-02T18:02:51.217000Z",
  "date_modified": "2026-03-02T18:02:51.217000Z",
  "file_hash": "0b1c679bda233adec3979b66472d00975331cca4148aa2ca4f451283994ab96e",
  "private": false,
  "record": {
    "abstract": "We review some basic features of the Lie-algebraic classification of\nW-algebras and related integrable hierarchies in 1+1 dimensions, pointing out\nthe role of affine Lie algebras. We emphasize that the supersymmetric\nextensions of the above construction possibly lead, though some questions are\nstill opened, to the classification of supersymmetric hierarchies based on\n``generic\u0027\u0027 supersymmetric affine Lie algebras. Here the word generic is used\nto make clear that well-known procedures, as those introduced by Inami and\nKanno, are too restricted and do not lead to the full spectrum of\nsupersymmetric integrable hierarchies one can construct. A particular attention\nis devoted to the large-N supersymmetric extensions (here N=4). The attention\npaid by large-N theories being due to the fact that they arise as dimensional\nreduction of N=1 models, and moreover that they realize an ``unification\u0027\u0027 of\nknown hierarchies.",
    "arxiv_id": "solv-int/9710001",
    "authors": [
      "Francesco Toppan"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "doi": "10.1007/BFb0105325",
    "title": "Susy Hierarchies and Affine Algebras",
    "url": "https://arxiv.org/abs/solv-int/9710001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2fdaefcb-d1dc-4cd8-9450-de765a6c6e1a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}