{
  "abstract": "The high-temperature expansion of twisted $S^{d-1}\\times S^1$ partition functions of CFT$_d$, $d = 2κ$, has recently been shown to obey an infinite tower of universal constraints. We determine these constraints explicitly and demonstrate that they can be packaged into a single equation involving a large conformal diffeomorphism isomorphic to $\\mathbb{Z}_{κ+1}$, which cyclically permutes the thermal circle and the rotation angles. Our equation asserts that the $\\mathbb{Z}_{κ+1}$-invariant part of $\\ln Z/β$ is a constant fixed by the a-anomaly. Our derivation assumes CP-invariance and locality of the thermal effective action, whose structure we constrain using an algebraic formalism starting from embedding space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05281",
  "author_total": 10,
  "authors": [
    {
      "name": "Arnav Advant"
    },
    {
      "name": "Harsh Anand"
    },
    {
      "name": "Nathan Benjamin"
    },
    {
      "name": "Abhijit Gadde"
    },
    {
      "name": "Vipul Kumar"
    },
    {
      "name": "Shiraz Minwalla"
    },
    {
      "name": "Jyotirmoy Mukherjee"
    },
    {
      "name": "Sridip Pal"
    },
    {
      "name": "Asikur Rahaman"
    },
    {
      "name": "Pabitra Ray"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8cq7edyf7em3p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05281",
  "fulltext_url": null,
  "id": "8cq7edyf7em3p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05281",
  "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/2611.05281",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8cq7edyf7em3p.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.05281",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05281"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "From Z to all: cyclic sum rules for thermal CFT partition functions",
  "title_text": "From Z to all: cyclic sum rules for thermal CFT partition functions",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/8cq7edyf7em3p",
  "venue": "arXiv",
  "versions": []
}