{
  "abstract": "We construct $S^1$-invariant solutions of the $SU(3)$ pure Yang-Mills theory on four-dimensional Euclidean space using the Cho-Faddeev-Niemi decomposition and a harmonic map from $S^2$ into the flag manifold $F_3=SU(3)/U(1)^2$. The resulting ansatz reduces the full Yang-Mills equations to coupled radial equations. Solving the coupled equations, we derive two types of solutions: analytic self-dual solutions interpreted as noninteracting clusters of hyperbolic monopoles and non-self-dual numerical solutions that can be interpreted as hyperbolic monopole-antimonopole bound states. In the large-mass limit of the hyperbolic monopole-antimonopole bound states, their normalized action approaches the energy of the corresponding non-Bogomolny $SU(3)$ monopole in flat space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15109",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuki Amari"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7p1naarfvdtb0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15109",
  "fulltext_url": null,
  "id": "7p1naarfvdtb0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15109",
  "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"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7213252251",
  "pdf_url": "https://arxiv.org/pdf/2609.15109",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7p1naarfvdtb0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15109",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15109"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Hyperbolic monopole-type solutions in $SU(3)$ Yang-Mills theory",
  "title_text": "Hyperbolic monopole-type solutions in SU(3) Yang-Mills theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/7p1naarfvdtb0",
  "venue": "arXiv",
  "versions": []
}