{
  "abstract": "We derive new dualities of topological quantum field theories in three spacetime dimensions that generalize the familiar level-rank dualities of Chern-Simons gauge theories. The key ingredient in these dualities is non-Abelian anyon condensation, which is a gauging operation for topological lines with non-group-like i.e. non-invertible fusion rules. We find that, generically, dualities involve such non-invertible anyon condensation and that this unifies a variety of exceptional phenomena in topological field theories and their associated boundary rational conformal field theories, including conformal embeddings, and Maverick cosets (those where standard algorithms for constructing a coset model fail.) We illustrate our discussion in a variety of isolated examples as well as new infinite series of dualities involving non-Abelian anyon condensation including: i) a new description of the parafermion theory as (SU(N)_{2} × Spin(N)_{-4})/\\mathcal{A}_{N}, ( S U ( N ) 2 × S p i n ( N ) − 4 ) / 𝒜 N , ii) a new presentation of a series of points on the orbifold branch of c=1 c = 1 conformal field theories as (Spin(2N)_{2} × Spin(N)_{-2} × Spin(N)_{-2})/\\mathcal{B}_{N} ( S p i n ( 2 N ) 2 × S p i n ( N ) − 2 × S p i n ( N ) − 2 ) / ℬ N , and iii) a new dual form of SU(2)_{N} S U ( 2 ) N as (USp(2N)_{1} × SO(N)_{-4})/\\mathcal{C}_{N} ( U S p ( 2 N ) 1 × S O ( N ) − 4 ) / 𝒞 N arising from conformal embeddings, where \\mathcal{A}_{N}, \\mathcal{B}_{N}, 𝒜 N , ℬ N , and \\mathcal{C}_{N} 𝒞 N are appropriate collections of gauged non-invertible bosons.",
  "abstract_shown": true,
  "affiliations": [
    "University of Chicago"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Clay Córdova",
      "orcid": "0000-0002-0579-3295"
    },
    {
      "affs": [
        0
      ],
      "name": "Diego García-Sepúlveda",
      "orcid": "0009-0006-1237-3973"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1vc971wctm7fv.bib",
  "cited_by": 26,
  "doi": "10.21468/scipostphys.21.4.089",
  "fulltext_url": null,
  "id": "1vc971wctm7fv",
  "issns": [
    "2542-4653"
  ],
  "landing_url": "https://scipost.org/10.21468/SciPostPhys.21.4.089",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
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  "openalex": "W4390436919",
  "pdf_url": "https://scipost.org/10.21468/SciPostPhys.21.4.089/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": "Stichting SciPost",
  "ris": "https://research.draconitic.com/paper/1vc971wctm7fv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:57Z",
      "native_id": "10.21468/scipostphys.21.4.089",
      "source": "crossref",
      "url": "https://scipost.org/10.21468/SciPostPhys.21.4.089"
    },
    {
      "first_seen": "2026-11-04T13:20:59Z",
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      "url": "https://doi.org/10.21468/scipostphys.21.4.089"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Algebraic structures and combinatorial models",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Non-invertible anyon condensation and level-rank dualities",
  "title_text": "Non-invertible anyon condensation and level-rank dualities",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T13:20:41Z",
  "url": "https://research.draconitic.com/paper/1vc971wctm7fv",
  "venue": "SciPost Physics",
  "versions": []
}