{
  "abstract": "In their work on multiscalar RG flows, Rychkov and Stergiou posed the question of whether there exist real fixed points of the one-loop renormalization group for scalar field theories in $d=4-ε$ which respect no extra symmetry beyond the universal $\\mathbb{Z}_2$ field inversion. In this note, we report on a construction of a large number of such fixed points in the theory of $22001$ scalar fields, thus resolving the question. The construction uses the geometry of an equiangular tight frame in order to reduce the (up to two-loop) fixed point equation to a two-dimensional space of couplings without assuming any extra symmetry. The main technical hurdle is then to establish the existence of such a frame whose corresponding lines preserve no symmetry. This can be achieved using the Steiner frame construction of Fickus, Mixon, and Tremain.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22923",
  "author_total": 1,
  "authors": [
    {
      "name": "Christopher Beem"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dt57wbxn27fs3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22923",
  "fulltext_url": null,
  "id": "dt57wbxn27fs3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22923",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7222949069",
  "pdf_url": "https://arxiv.org/pdf/2610.22923",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dt57wbxn27fs3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.22923",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22923"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Asymmetric multiscalar fixed points from equiangular tight frames",
  "title_text": "Asymmetric multiscalar fixed points from equiangular tight frames",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/dt57wbxn27fs3",
  "venue": "arXiv",
  "versions": []
}