{
  "annotation_id": "68e5e26a-0d18-4bdd-b4fc-79f7669ccb72",
  "date_created": "2026-03-02T18:01:46.177000Z",
  "date_modified": "2026-03-02T18:01:46.177000Z",
  "file_hash": "f5485837bddc1ac358bb6c7a3f360f4726df49af461d23eec6c8f4227a7e0bd6",
  "private": false,
  "record": {
    "abstract": "We report general properties of N-fold supersymmetry in one-dimensional\nquantum mechanics. N-fold supersymmetry is characterized by supercharges which\nare N-th polynomials of momentum. Relations between the anti-commutator of the\nsupercharges and the Hamiltonian, the spectra, the Witten index, the\nnon-renormalization theorems and the quasi-solvability are examined. We also\npresent further investigation about a particular class of N-fold supersymmetric\nmodels which we dubbed type A. Algebraic equations which determine a part of\nspectra of type A models are presented, and the non-renormalization theorem are\ngeneralized. Finally, we present a possible generalization of N-fold\nsupersymmetry in multi-dimensional quantum mechanics.",
    "arxiv_id": "quant-ph/0106037",
    "authors": [
      "Hideaki Aoyama",
      "Masatoshi Sato",
      "Toshiaki Tanaka"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1016/S0550-3213(01)00516-8",
    "journal_ref": "Nucl.Phys. B619 (2001) 105-127",
    "title": "N-fold Supersymmetry in Quantum Mechanics - General Formalism -",
    "url": "https://arxiv.org/abs/quant-ph/0106037"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "981c28fe-a9a1-406d-8ee0-29fb0542342c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}