{
  "abstract": "We study the low-temperature phase diagrams of $Spin(N)/SO(N)_\\pm$ Yang-Mills theories as functions of the $θ$-parameter. In particular, for every even integer $N\\geq 4$, we find a phase diagram consistent with the center/CP mixed anomaly, via the technique of mixed gauge theory. The resulting phase diagrams are in perfect agreement with the phase diagrams of $Spin(N)/SO(N)_\\pm$ super Yang-Mills theory softly broken by a small gaugino mass. In the case of $Spin(4k)$ Yang-Mills for an integer $k\\geq 2$, only two phases appear in the phase diagram, while in the $Spin(4)$ case the phase diagram contains four SPT phases protected by the $\\mathbb{Z}_2\\times \\mathbb{Z}_2$ center symmetry. In the case of $Spin(4k+2)$ Yang-Mills for a positive integer $k$, the phase diagram contains four SPT phases protected by the $\\mathbb{Z}_4$ center symmetry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06058",
  "author_total": 2,
  "authors": [
    {
      "name": "Ryo Hamachika"
    },
    {
      "name": "Takahiro Nishinaka"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6zgdsng5x7xyy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06058",
  "fulltext_url": null,
  "id": "6zgdsng5x7xyy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06058",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06058",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6zgdsng5x7xyy.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06058",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06058"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "On phases of 4d $Spin/SO$ Yang-Mills theories",
  "title_text": "On phases of 4d Spin/SO Yang-Mills theories",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:19Z",
  "url": "https://research.draconitic.com/paper/6zgdsng5x7xyy",
  "venue": "arXiv",
  "versions": []
}