{
  "annotation_id": "b08006ae-a2a9-4c59-9915-7408fabda420",
  "date_created": "2026-02-17T05:53:20.408000Z",
  "date_modified": "2026-02-17T05:53:20.408000Z",
  "file_hash": "8594bd8b49809db9c709d1f1cf0b3f5ddb1f8144b3689b0c9d212b336a2b48c4",
  "private": false,
  "record": {
    "abstract": "It is known that a two-dimensional bosonic theory with a non-anomalous $\\mathbb{Z}_2$ symmetry can be fermionized. Recent work shows that if the bosonic theory also has non-anomalous time-reversal symmetry, fermionization extends to non-orientable surfaces and yields a fermionic theory that depends on a $\\mathrm{Pin}^-$ structure. Besides fermionization, one can define various topological manipulations, such as gauging and stacking invertible phases, which together generate a web of dualities. We prove that their group structure is the dihedral group $D_8$ of order 16. Furthermore, we systematically investigate the web from two perspectives: Symmetry TFT and actions on sectors of the $S^1$ Hilbert space.",
    "arxiv_id": "2601.09067",
    "authors": [
      "Ippo Orii",
      "Keita Tsuji"
    ],
    "categories": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Web of dualities on non-orientable surfaces",
    "url": "https://arxiv.org/abs/2601.09067",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "114ee2bb-fe66-4185-b628-c995d27ea61c",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}