{
  "abstract": "We study the coupling matrix of 𝒩 = 2 SU(N) gauge theories with 2N fundamental hypermultiplets in the special vacuum, where a residual ℤN symmetry restores nontrivial modular structure. Using symmetry and dimensional arguments, we construct its general form and identify ⌊N/2⌋ coupling constants in their most natural basis.\n\nWe show that in the massless theory these couplings transform independently under S-duality and that the bare coupling is a modular function of any of them. One coupling constant, however, plays a distinguished role, emerging in the asymptotic regime and in instanton recursion relation. In the massive case, this structure is deformed but the distinguished coupling retains its privileged role.",
  "abstract_shown": true,
  "affiliations": [
    "Dipartimento di Fisica, Università di Torino, and I.N.F.N. — sezione di Torino"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Aleksei Bykov",
      "orcid": "0009-0009-3994-2760"
    },
    {
      "affs": [
        0
      ],
      "name": "Ekaterina Sysoeva",
      "orcid": "0009-0008-2089-2540"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/atwxjq8chec10.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep11(2026)019",
  "fulltext_url": "https://doi.org/10.1007/JHEP11(2026)019",
  "id": "atwxjq8chec10",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/article/10.1007/JHEP11(2026)019",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "feed-journal",
      "physics/high-energy"
    ],
    [
      "lcc",
      "QC770-798"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP11(2026)019.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/atwxjq8chec10.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:20:12Z",
      "native_id": "10.1007/jhep11(2026)019",
      "source": "feed-springer",
      "url": "https://link.springer.com/article/10.1007/JHEP11(2026)019"
    },
    {
      "first_seen": "2026-11-05T12:20:27Z",
      "native_id": "10.1007/jhep11(2026)019",
      "source": "crossref",
      "url": "https://link.springer.com/article/10.1007/JHEP11(2026)019"
    },
    {
      "first_seen": "2026-11-08T14:20:53Z",
      "native_id": "111c087809d14d69aeb188d0f00b03b6",
      "source": "doaj",
      "url": "https://doi.org/10.1007/jhep11(2026)019"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "feed-journal:physics/high-energy",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "lcc:QC770-798",
      "subfield": "nuclear"
    }
  ],
  "title": "One constant to rule them all",
  "title_text": "One constant to rule them all",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T14:20:53Z",
  "url": "https://research.draconitic.com/paper/atwxjq8chec10",
  "venue": "Journal of High Energy Physics",
  "versions": []
}