{
  "abstract": "It is shown that a level $k$ Abelian lattice Chern-Simons theory with continuum time and a spatial square lattice, which is a topological field theory on the latticized plane and torus, when quantized on a spatial cylinder reduces to chiral edge excitations, exactly localized on the two boundaries and carrying two commuting lattice versions of the level-$k$ $U(1)$ Kac-Moody algebra of opposite chirality. The algebras are represented on a Fock space in the noncompact theory and by a finite Weyl algebra in the compact one. We also observe that the theory has a natural framing of Wilson loops which exhibits the correct framing anomaly.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05663",
  "author_total": 1,
  "authors": [
    {
      "name": "Gordon W. Semenoff"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/64qnk2t2ds4xc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05663",
  "fulltext_url": null,
  "id": "64qnk2t2ds4xc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05663",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05663",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/64qnk2t2ds4xc.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.05663",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05663"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Chiral edge modes from lattice Chern-Simons theory",
  "title_text": "Chiral edge modes from lattice Chern-Simons theory",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:29Z",
  "url": "https://research.draconitic.com/paper/64qnk2t2ds4xc",
  "venue": "arXiv",
  "versions": []
}