{
  "annotation_id": "ab6b5c9d-6479-45ab-aec8-03c714f4a266",
  "date_created": "2026-03-02T18:01:39.204000Z",
  "date_modified": "2026-03-02T18:01:39.204000Z",
  "file_hash": "ff73aee2eb6d889f0965d93a817380f9a731de6f02225007ac67c74c4f770f2e",
  "private": false,
  "record": {
    "abstract": "We analyze the spectral structure of the one dimensional quantum mechanical\nsystem with point interaction, which is known to be parametrized by the group\nU(2). Based on the classification of the interactions in terms of symmetries,\nwe show, on a general ground, how the fermion-boson duality and the spectral\nanholonomy recently discovered can arise. A vital role is played by a hidden\nsu(2) formed by a certain set of discrete transformations, which becomes a\nsymmetry if the point interaction belongs to a distinguished U(1) subfamily in\nwhich all states are doubly degenerate. Within the U(1), there is a particular\ninteraction which admits the interpretation of the system as a supersymmetric\nWitten model.",
    "arxiv_id": "quant-ph/0008123",
    "authors": [
      "Taksu Cheon",
      "Tamas Fulop",
      "Izumi Tsutsui"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1006/aphy.2001.6193",
    "journal_ref": "Annals of Physics 294 (2001) 1-23",
    "title": "Symmetry, Duality and Anholonomy of Point Interactions in One Dimension",
    "url": "https://arxiv.org/abs/quant-ph/0008123"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea76f542-517d-44eb-8111-99510d9c46ba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}