{
  "abstract": "We formulate condensation compatible with a specified separable generalized gauging operation in a unitary (2 + 1)-dimensional defect realization. Compatibility is a coherent reversible crossing of the full condensate algebra, retaining charged channels and the marked condensation interface. The resulting composite network determines the transported condensate, the induced operation, and a commuting square of specified walls. For connected gauging data, compatibility admits a central matching description that retains the transported condensate and its algebra identification on the specified wall. The specified unit may absorb a nontrivial parent anyon algebra; strong connectedness appears only as the transparent-unit specialization. We distinguish original vacuum insertions, vacuum branches after unit absorption, and the full vacuum algebra of the final phase, and we prove a complete Higgs criterion that incorporates the parent algebra absorbed by the specified unit. In the toric-code example of a non-invertible subgroup gauging we classify the compatible condensations for the fixed operation, exhibit two inequivalent crossings of the same parent condensate that lead to different final phases, and analyse a pure condensation operation in which the specified unit absorbs the parent electric condensate and produces additional final vacuum operators. The transparent-unit case recovers reverse-condensation transport and the vacuum-overlap formula, and the three complete Higgs conditions appear as a corollary of the general criterion.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06104",
  "author_total": 1,
  "authors": [
    {
      "name": "Youxuan Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5017rm56psqgg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06104",
  "fulltext_url": null,
  "id": "5017rm56psqgg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06104",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06104",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5017rm56psqgg.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06104",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06104"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Compatible Condensation and Generalized Gauging: Marked Transport and Wall Interchange",
  "title_text": "Compatible Condensation and Generalized Gauging: Marked Transport and Wall Interchange",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/5017rm56psqgg",
  "venue": "arXiv",
  "versions": []
}