{
  "abstract": "We study symmetry-enriched topological order in two-dimensional tensor network states by using graded matrix product operator algebras to represent symmetry-induced domain walls. A close connection to the theory of graded unitary fusion categories is established. Tensor network representations of the topological defect superselection sectors are constructed for all domain walls. The emergent symmetry-enriched topological order is extracted from these representations, including the symmetry action on the underlying anyons. Dual phase transitions, induced by gauging a global symmetry, and condensation of a bosonic subtheory, are analyzed and the relationship between topological orders on either side of the transition is derived. Several examples are worked through explicitly.",
  "abstract_shown": true,
  "affiliations": [
    "Vienna Center for Quantum Technology, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria",
    "Department of Physics and Astronomy, Ghent University, Krijgslaan 281 S9, B-9000 Ghent, Belgium"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Dominic J. Williamson",
      "orcid": "0000-0002-8029-6408"
    },
    {
      "affs": [
        1
      ],
      "name": "Nick Bultinck",
      "orcid": "0000-0002-2781-4085"
    },
    {
      "affs": [
        1
      ],
      "name": "Frank Verstraete",
      "orcid": "0000-0003-0270-5592"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/akydv1r9cwmzb.bib",
  "cited_by": 86,
  "doi": "10.22331/q-2026-09-01-2199",
  "fulltext_url": null,
  "id": "akydv1r9cwmzb",
  "issns": [
    "2521-327X"
  ],
  "landing_url": "https://doi.org/10.22331/q-2026-09-01-2199",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
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  "openalex": "W2768327130",
  "pdf_url": "https://quantum-journal.org/papers/q-2026-09-01-2199/pdf/",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": "Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften",
  "ris": "https://research.draconitic.com/paper/akydv1r9cwmzb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:18Z",
      "native_id": "W2768327130",
      "source": "openalex",
      "url": "https://doi.org/10.22331/q-2026-09-01-2199"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3107|Quantum many-body systems",
      "subfield": "amo"
    }
  ],
  "title": "Symmetry-enriched topological order in tensor networks: Defects, gauging and anyon condensation",
  "title_text": "Symmetry-enriched topological order in tensor networks: Defects, gauging and anyon condensation",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:21:01Z",
  "url": "https://research.draconitic.com/paper/akydv1r9cwmzb",
  "venue": "Quantum",
  "versions": []
}