{
  "abstract": "We compute the scaling dimensions of charge $q$ monopole operators in QED$_3$ with $N$ two-component complex fermions and Chern-Simons level $k$, to subleading order in the limit where $k,N$ are large and $k/N$ is fixed. We use this and previous results for scalar QED$_3$ (sQED$_3$) to check the duality between QED$_3$ with $N=1,k=-3/2$ and sQED$_3$ with $N=1,k=2$, whose $U(1)$ monopole symmetry is enhanced to $SO(3)$. We find that the lowest charge monopole value for QED$_3$ is close to 2 as expected for the emergent $SO(3)$ current, the second lowest charge monopole matches a prediction from a fuzzy sphere calculation, while higher $q$ monopoles match the corresponding sQED$_3$ values with relative error of just one percent. We also find similar evidence for dualities between QED$_3$ with $N=1,k=-(2m+1)/2$ and one scalar coupled to two $U(1)$ gauge fields, which has an effective description as sQED$_3$ with $N=1,k=\\frac{m+1}{m}$ and $q_s=mq_f$ for $m>1$. Finally, by fitting many values of $q$ we show that the $q^0$ term at large $q$ for QED$_3$ takes the same nonzero value that appears in the universal EFT for parity preserving $U(1)$ theories, even though parity is broken for $k\\neq0$. For sQED$_3$, a similar fit gives zero $q^0$ term for $k\\neq0$, unlike the universal nonzero value previously observed for $k=0$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37795",
  "author_total": 2,
  "authors": [
    {
      "name": "Shai M. Chester"
    },
    {
      "name": "Éric Dupuis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4253nq6byx8z1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37795",
  "fulltext_url": null,
  "id": "4253nq6byx8z1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37795",
  "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",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7214925131",
  "pdf_url": "https://arxiv.org/pdf/2609.37795",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4253nq6byx8z1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.37795",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37795"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Monopoles, duality, and large charge in Chern-Simons QED$_3$",
  "title_text": "Monopoles, duality, and large charge in Chern-Simons QED_3",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:36Z",
  "url": "https://research.draconitic.com/paper/4253nq6byx8z1",
  "venue": "arXiv",
  "versions": []
}