{
  "abstract": "We derive an entropy formula for recently proposed tensor network models which prepare diffeomorphism invariant states of topological quantum field theories with non-compact and/or continuous gauge groups. We show that our entropy formula generalizes the notion of ``topological entanglement entropy'' to incorporate the infinite number of particle-like excitations in such theories. When our networks are endowed with gauge group $\\mathrm{SL}(2,\\mathbb{R})$, we can interpret them as models of three-dimensional gravity with small Newton's constant and possibly non-invertible metrics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10667",
  "author_total": 2,
  "authors": [
    {
      "name": "Vijay Balasubramanian"
    },
    {
      "name": "Charlie Cummings"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bfym15gp7vy0b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10667",
  "fulltext_url": null,
  "id": "bfym15gp7vy0b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10667",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7212240731",
  "pdf_url": "https://arxiv.org/pdf/2609.10667",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bfym15gp7vy0b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2609.10667",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10667"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Entanglement entropy in topological tensor networks",
  "title_text": "Entanglement entropy in topological tensor networks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/bfym15gp7vy0b",
  "venue": "arXiv",
  "versions": []
}