{
  "abstract": "We study the connection between the $SU(N)_{K}$ Wess-Zumino-Witten (WZW) model and $SU(N)_{K'}$ WZW model, enforcing the $\\mathbb{Z}_{N}$ symmetries. The fundamental underlying structures are the (half-)integer spin simple currents in the topological quantum field theories and anomaly matching conditions in conformal field theories. For the (half-)integer spin simple current condition, we obtain the generalized pairing condition $K= \\pm R^{2}K' (\\text{mod}.N)$ with $\\text{gcd}(R,N)=1$. On the other hand, the anomaly matching condition results in the weaker condition $K= \\pm RUK' (\\text{mod}.N)$ with $\\text{gcd}(R,N)=\\text{gcd}(U,N)=1$. The preservation law of the $\\mathbb{Z}_{N}$ defects and symmetries is compatible only with the pairing condition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21478",
  "author_total": 2,
  "authors": [
    {
      "name": "Yoshiki Fukusumi"
    },
    {
      "name": "Shuma Nakashiba"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6zf0y8ry87jng.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21478",
  "fulltext_url": null,
  "id": "6zf0y8ry87jng",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21478",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7222405067",
  "pdf_url": "https://arxiv.org/pdf/2610.21478",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6zf0y8ry87jng.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:22Z",
      "native_id": "2610.21478",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21478"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Difference between pair creation and anomaly matching: Nontrivial aspects of invertible symmetries and defects in $SU(N)$ models",
  "title_text": "Difference between pair creation and anomaly matching: Nontrivial aspects of invertible symmetries and defects in SU(N) models",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/6zf0y8ry87jng",
  "venue": "arXiv",
  "versions": []
}