{
  "abstract": "The magnetic field strength is a central design object in the theory of magnetic confinement of plasma. Desirable confinement properties such as quasi-symmetry and omnigenity are characterized by special forms of the field strength when it is given in the particular coordinate system called ``Boozer coordinates.\" We ask a basic realizability question: which functions of Boozer coordinates can arise as the magnitude of a magnetic field that is written in Boozer coordinates? Using exterior differential systems and the Cartan-Kähler theorem, we show that every positive analytic function is locally realizable. Thus there is no local analytic obstruction to prescribing the field strength in Boozer coordinates; though further restrictions might arise from global geometric or additional physical constraints.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09517",
  "author_total": 4,
  "authors": [
    {
      "name": "Taylor J. Klotz"
    },
    {
      "name": "Nathan Duignan"
    },
    {
      "name": "Joshua W. Burby"
    },
    {
      "name": "James D. Meiss"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fs1g9jn9rx9pj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09517",
  "fulltext_url": null,
  "id": "fs1g9jn9rx9pj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09517",
  "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",
      "math.DG"
    ],
    [
      "arxiv",
      "physics.plasm-ph"
    ],
    [
      "openalex",
      "3106|Magnetic confinement fusion research"
    ]
  ],
  "openalex": "W7212137462",
  "pdf_url": "https://arxiv.org/pdf/2609.09517",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fs1g9jn9rx9pj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.09517",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09517"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.plasm-ph",
      "subfield": "plasma"
    }
  ],
  "title": "All field strengths are possible locally in Boozer coordinates",
  "title_text": "All field strengths are possible locally in Boozer coordinates",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/fs1g9jn9rx9pj",
  "venue": "arXiv",
  "versions": []
}