{
  "abstract": "We investigate the algebraic and topological properties of the unitary group $U(4)$ subjected to a non-standard continuous symmetry breaking cascade down to an $SU(2)_H$ subgroup. By explicitly embedding the unbroken $SU(2)_H$ symmetry into the lower-right quadrant of the fundamental matrix representation, we demonstrate that the resulting 12-dimensional quotient space, $SU(4)/SU(2)_H$, undergoes a strictly asymmetric geometric partition. This specific breaking pattern uniquely isolates an 8-dimensional sector that retains closed commutation relations, forming a rigorous $\\mathfrak{su}(3)$ Lie subalgebra. Concurrently, it isolates a 4-dimensional off-diagonal sector that fails to close algebraically, generating a purely non-linear topological coset. By analyzing the global spherical fibrations of the manifold, we show that this non-linear territory reduces to a $\\mathbb{C}P^1 \\cong S^2$ base space. Consequently, continuous mappings from a 3-dimensional spatial boundary are classified by the third homotopy group, $π_3(S^2) \\cong \\mathbb{Z}$, guaranteeing absolute vacuum stability via the integer-quantized Hopf invariant. Ultimately, this framework demonstrates that a non-simple unitary group can organically provide a mathematically rigorous geometric template capable of simultaneously accommodating both continuous gauge symmetries and stable, non-perturbative topological sectors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Annals of Physics, Vol. 494, Part 2, 170680 (2026)",
  "arxiv": "2610.23859",
  "author_total": 2,
  "authors": [
    {
      "name": "Dimitris Mastoridis"
    },
    {
      "name": "Konstantinos Kalogirou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bvxkbefpwbv8t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23859",
  "fulltext_url": null,
  "id": "bvxkbefpwbv8t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23859",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "physics.gen-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.23859",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bvxkbefpwbv8t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.23859",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23859"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Algebraic decomposition and topological fibrations of the $U(4) \\to SU(2)$ quotient space",
  "title_text": "Algebraic decomposition and topological fibrations of the U(4) → SU(2) quotient space",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/bvxkbefpwbv8t",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.aop.2026.170680",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}