{
  "abstract": "What does a unitary two-dimensional conformal field theory look like just above $c=1$? Using the numerical conformal bootstrap, we study the four-point function of a scalar Virasoro primary $ϕ$ such that no primary lighter than $ϕ$ appears in its operator product expansion with itself. Slightly above $c=1$, crossing symmetry excludes the interval $0.17\\lesssimΔ_ϕ\\lesssim1$, although the compact boson realizes every such $Δ_ϕ$ at $c=1$. Combining this exclusion with results from the modular bootstrap, we show that the lightest primary of a compact unitary conformal field theory at $c=1.0005$ or $1.001$ has dimension $Δ_{\\rm gap}<0.17$. Further from $c=1$, the largest excluded central charge at fixed $Δ_ϕ$ has two sharp minima near $Δ_ϕ=1/2$ and $4/7$. At these values it lies within $2\\times10^{-7}$ of $c=8/7$, where the $\\mathbb{Z}_5$ parafermion and its charge-conjugation orbifold have scalars of exactly these dimensions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03217",
  "author_total": 1,
  "authors": [
    {
      "name": "Yu Nakayama"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/38rqmq1va1tbs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03217",
  "fulltext_url": null,
  "id": "38rqmq1va1tbs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03217",
  "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/2611.03217",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/38rqmq1va1tbs.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:04Z",
      "native_id": "2611.03217",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03217"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "What crossing symmetry forbids just above $c=1$",
  "title_text": "What crossing symmetry forbids just above c=1",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:21Z",
  "url": "https://research.draconitic.com/paper/38rqmq1va1tbs",
  "venue": "arXiv",
  "versions": []
}