{
  "id": "2103.00746",
  "version": "v1",
  "published": "2021-03-01T04:26:00.000Z",
  "updated": "2021-03-01T04:26:00.000Z",
  "title": "Fermionization and boundary states in 1+1 dimensions",
  "authors": [
    "Yoshiki Fukusumi",
    "Yuji Tachikawa",
    "Yunqin Zheng"
  ],
  "comment": "35 pages, 3 figures",
  "categories": [
    "hep-th",
    "cond-mat.str-el"
  ],
  "abstract": "In the last few years it was realized that every fermionic theory in 1+1 dimensions is a generalized Jordan-Wigner transform of a bosonic theory with a non-anomalous $\\mathbb{Z}_2$ symmetry. In this note we determine how the boundary states are mapped under this correspondence. We also interpret this mapping as the fusion of the original boundary with the fermionization interface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-01T04:26:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary states",
      "dimensions",
      "fermionization interface",
      "fermionic theory",
      "bosonic theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}