{
  "annotation_id": "bc2e2d27-15f7-48af-9943-7fd83edc94e9",
  "date_created": "2026-03-02T18:02:24.195000Z",
  "date_modified": "2026-03-02T18:02:24.195000Z",
  "file_hash": "e4f200ee36f7cf9f3951cb2e12d013093d6e91880d9617262b648877c99b4ffa",
  "private": false,
  "record": {
    "abstract": "We recall the importance of recognizing the different mathematical nature of\nvarious concepts relating to PT-symmetric quantum theories. After clarifying\nthe relation between supersymmetry and pseudo-supersymmetry, we prove\ngenerically that nonlinear pseudo-supersymmetry, recently proposed by Sinha and\nRoy, is just a special case of N-fold supersymmetry. In particular, we show\nthat all the models constructed by these authors have type A 2-fold\nsupersymmetry. Furthermore, we prove that an arbitrary one-body quantum\nHamiltonian which admits two (local) solutions in closed form belongs to type A\n2-fold supersymmetry, irrespective of whether or not it is Hermitian,\nPT-symmetric, pseudo-Hermitian, and so on.",
    "arxiv_id": "quant-ph/0602177",
    "authors": [
      "Artemio Gonzalez-Lopez",
      "Toshiaki Tanaka"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/14/014",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 3715-3723",
    "title": "Nonlinear Pseudo-Supersymmetry in the Framework of N-fold Supersymmetry",
    "url": "https://arxiv.org/abs/quant-ph/0602177"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "81ea978f-e395-4870-9a3b-e8cffe3a0cd0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}