{
  "abstract": "Recently, a generalized Landau paradigm has been proposed, in which a broad class of \"unconventional\" phase transitions lying beyond the original symmetry-breaking framework of Landau are understood as the symmetry-breaking transitions of generalized symmetries. In particular, in (1+1)D, such \"topological\" or \"deconfined\" transitions can be mapped to the symmetry-breaking transitions of non-invertible symmetries. How to extract the universal dynamical properties of the transitions from this understanding? In this paper, we follow the Ginzburg-Landau philosophy and develop a field-theoretic description of such critical points in terms of the fluctuations of local order parameters, now of non-invertible symmetries. The Symmetry Topological Field Theory formalism plays a central role in our analysis, allowing us to identify the algebra of local order parameters from the Lagrangian algebra of a (2+1)D topological order. We illustrate the key ideas and the full steps of this generalized Ginzburg-Landau procedure using the transitions between gapped phases with a simple non-invertible symmetry --- the Rep($S_3$) symmetry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06751",
  "author_total": 3,
  "authors": [
    {
      "name": "Vibhu Ravindran"
    },
    {
      "name": "Luisa Eck"
    },
    {
      "name": "Xie Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e1a9j5pw8f1h2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06751",
  "fulltext_url": null,
  "id": "e1a9j5pw8f1h2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06751",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7212054935",
  "pdf_url": "https://arxiv.org/pdf/2609.06751",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e1a9j5pw8f1h2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.06751",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06751"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Ginzburg-Landau Theory for Non-Invertible Symmetry-Breaking Transitions",
  "title_text": "Ginzburg-Landau Theory for Non-Invertible Symmetry-Breaking Transitions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/e1a9j5pw8f1h2",
  "venue": "arXiv",
  "versions": []
}