{
  "abstract": "Discrete non-Abelian symmetries such as $\\mathrm{A_4}$ are widely used in models of lepton flavor to explain neutrino mass hierarchy and their large mixing. If such a symmetry arises from the spontaneous breaking of a continuous group, cosmic strings can form. We study the breaking $\\mathrm{SO}(3)\\to \\mathrm{A_4}$, for which the strings are classified by the non-Abelian group $π_1(\\mathrm{SO}(3)/\\mathrm{A_4})\\cong \\mathrm{T}'$, the binary tetrahedral group. Because the string fluxes do not commute, colliding strings may reconnect, pass through each other, or become joined by a bridge whose flux can belong to a different string network. We derive the probabilities of these outcomes directly from the group structure; in network models they are usually treated as free parameters. Including them in a multi-network velocity-dependent one-scale model, we find that the correlation length of the networks decreases and their energy density increases relative to Abelian $\\mathrm{U}(1)$ strings of the same tension. The resulting stochastic gravitational-wave background is enhanced by up to nearly three orders of magnitude, showing that the algebraic structure of $π_1$ leaves a direct imprint on the gravitational-wave spectrum.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30360",
  "author_total": 2,
  "authors": [
    {
      "name": "Mu-Chun Chen"
    },
    {
      "name": "Cameron Moffett-Smith"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fwwnh2k14phr3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30360",
  "fulltext_url": null,
  "id": "fwwnh2k14phr3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30360",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.CO"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7223322103",
  "pdf_url": "https://arxiv.org/pdf/2610.30360",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fwwnh2k14phr3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2610.30360",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30360"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Gravitational Waves From an Entangled SO(3) Cosmic String Network",
  "title_text": "Gravitational Waves From an Entangled SO(3) Cosmic String Network",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/fwwnh2k14phr3",
  "venue": "arXiv",
  "versions": []
}