{
  "abstract": "In this work we construct three-dimensional Chern--Simons gravity theories for the six resonant $JPZ$ algebras generated by the Lorentz generators $J_a$, translations $P_a$, and an additional Lorentz-like generator $Z_a$. The resonance condition together with the Jacobi identities leaves precisely six configurations arising from the semigroup expansions. Our main result is that three of them, $B_4$, $\\widetilde C_4$, and $C_4$, are isomorphic to $iso(2,1)\\oplus so(2,1)$, although they yield different gravitational realizations when we keep the original $JPZ$ field identification fixed. For each case $JPZ$, we determine the invariant tensors, gauge curvatures, Chern--Simons action, field equations, and the corresponding maximal-rank coupling sectors. The field equations can be written in the compact form $Ω_σ\\mathbf F=0$, which makes explicit how the additional field $h^a$ contributes to the curvature, torsion, and the remaining gauge-curvature components. We use the direct-sum isomorphisms to classify the local metric sectors and to relate them to known global and asymptotic solutions, while keeping the gravitational interpretation tied to the original $(ω,e,h)$ fields.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17480",
  "author_total": 3,
  "authors": [
    {
      "name": "Remigiusz Durka"
    },
    {
      "name": "Nelson Merino"
    },
    {
      "name": "D. M. Peñafiel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4qxwja0jgtfx7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17480",
  "fulltext_url": null,
  "id": "4qxwja0jgtfx7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17480",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3103|Relativity and Gravitational Theory"
    ]
  ],
  "openalex": "W7221773888",
  "pdf_url": "https://arxiv.org/pdf/2610.17480",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4qxwja0jgtfx7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.17480",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17480"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Resonant JPZ algebras and 3D Chern--Simons gravity",
  "title_text": "Resonant JPZ algebras and 3D Chern--Simons gravity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/4qxwja0jgtfx7",
  "venue": "arXiv",
  "versions": []
}