{
  "abstract": "Given a Lie group $G$, a level $k$, and a Lie subgroup $H$ one can construct 2d conformal field theories by either 1.) gauging a nonanomalous $H$ symmetry of the WZW model constructed from $(G,k)$ or 2.) using an algebraic procedure known as the GKO coset construction. The two models are closely related, but not precisely the same: The gauged WZW model is identified with the corresponding GKO model coupled to a 2d topological field theory. The topological theory is characterized by a commutative Frobenius algebra derived from the endomorphisms of an algebra object in a modular tensor category constructed from $(G,H,k)$. The partition function on the torus of the two models differ by a factor of the dimension of this algebra of endomorphisms. Concrete examples are constructed and some applications to string theory and 2d Yang-Mills coupled to nonanomalous matter are briefly discussed. This paper is a summary of a longer companion paper.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.11308",
  "author_total": 3,
  "authors": [
    {
      "name": "Gregory W. Moore"
    },
    {
      "name": "Eliezer Rabinovici"
    },
    {
      "name": "Ranveer Kumar Singh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1xsc55q5g5w13.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.11308",
  "fulltext_url": null,
  "id": "1xsc55q5g5w13",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.11308",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "math.CT"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7202386142",
  "pdf_url": "https://arxiv.org/pdf/2608.11308",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1xsc55q5g5w13.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2608.11308",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.11308"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A Comment On Topological Degeneracy In Gauged WZW Models",
  "title_text": "A Comment On Topological Degeneracy In Gauged WZW Models",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/1xsc55q5g5w13",
  "venue": "arXiv",
  "versions": []
}