{
  "abstract": "We study the thermal partition function of the critical large-$N$ $O(N)$ model on rotating $S^1\\times S^2$. Rotation makes the saddle latitude dependent, with its leading profile governed by the local temperature. Using a Weyl-covariant hydrostatic expansion, we determine the partition function through four-derivative order in high-temperature and semi-universal limits. In the near-light-speed limit, the geometry around the equator reduces to a pp-wave and captures the expected semi-universal behavior of the partition function. We compute the corresponding theory-dependent residue directly on this limiting geometry, both at high and low temperatures. The high-temperature result agrees with the near-light-speed limit of the sphere calculation, while the low-temperature expansion reveals interaction-dependent corrections arising from the response of the saddle to the thermal source.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25622",
  "author_total": 1,
  "authors": [
    {
      "name": "Vinayak Mishra"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/erv20bqrh5sf8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25622",
  "fulltext_url": null,
  "id": "erv20bqrh5sf8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25622",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7214106691",
  "pdf_url": "https://arxiv.org/pdf/2609.25622",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/erv20bqrh5sf8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.25622",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25622"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Semi-Universality of $O(N)$ model on $S^1\\times S^2$",
  "title_text": "Semi-Universality of O(N) model on S^1× S^2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:39Z",
  "url": "https://research.draconitic.com/paper/erv20bqrh5sf8",
  "venue": "arXiv",
  "versions": []
}