{
  "abstract": "We present a comprehensive analysis of the Wess-Zumino anomaly effective action of four-dimensional $\\mathcal{N}=1$ superconformal field theories in components. After reviewing the coset construction of the Wess-Zumino action in the presence of an unbroken subgroup, the gauging of the conformal algebra and the Wess-Zumino effective action for non-supersymmetric conformal field theories with a U(1) symmetry in two and four dimensions, we revisit the superconformal anomalies of $\\mathcal{N}=1$ conformal supergravity. Solving the Wess-Zumino consistency conditions we determine both the bosonic and fermionic superconformal anomalies in a two-parameter family of schemes, to quadratic order in the gravitino. Turning on a chiral compensator multiplet and identifying a local super-Poincaré subalgebra of the conformal supergravity algebra without gauge-fixing the coset symmetries, we employ the coset construction and the superconformal anomalies in order to evaluate the Wess-Zumino action for generic $\\mathcal{N}=1$ superconformal field theories coupled to conformal supergravity. By construction, this action reproduces the Weyl, R-symmetry, and S-supersymmetry coset anomalies, but its transformation under the unbroken Poincaré supersymmetry differs from the corresponding anomaly of the conformal supergravity functional. We show that there exists a local functional of the coset-invariant old-minimal fields that, when added to the Wess-Zumino action, results in a generalized Wess-Zumino action that reproduces all anomalies of the conformal supergravity functional. The same local functional enables us to determine the super-Weyl anomalies and the Wess-Zumino action of old-minimal supergravity, providing a component version of the known superspace Wess-Zumino action.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06842",
  "author_total": 2,
  "authors": [
    {
      "name": "Pantelis Panopoulos"
    },
    {
      "name": "Ioannis Papadimitriou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dsm3wptxzpmh2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06842",
  "fulltext_url": null,
  "id": "dsm3wptxzpmh2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06842",
  "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",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06842",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dsm3wptxzpmh2.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06842",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06842"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Anomaly effective actions for 4d $\\mathcal{N}=1$ superconformal field theories",
  "title_text": "Anomaly effective actions for 4d 𝒩=1 superconformal field theories",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:21Z",
  "url": "https://research.draconitic.com/paper/dsm3wptxzpmh2",
  "venue": "arXiv",
  "versions": []
}