{
  "abstract": "We propose and study blowup relations obeyed by the partition functions of 5d $$ \\mathcal{N} $$ = 1 (quiver) SYM theories with SU (2) gauge group and four flavours. By analyzing the Weyl group action on the sets of blowup relations, we identify the integer parameters of a blowup relation with the weights of a corresponding Lie algebra. We also explain how this action of the Weyl group follows from the Weyl group symmetry of the partition function. Finally, we use these relations to derive bilinear relations on the q-Painlevé VI tau functions.",
  "abstract_shown": true,
  "affiliations": [
    "The University of Melbourne"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Artem Stoyan",
      "orcid": "0000-0002-3924-0656"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bh4bsqrr6pfy7.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep11(2026)042",
  "fulltext_url": "https://doi.org/10.1007/JHEP11(2026)042",
  "id": "bh4bsqrr6pfy7",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/article/10.1007/JHEP11(2026)042",
  "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)042.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/bh4bsqrr6pfy7.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T18:20:56Z",
      "native_id": "10.1007/jhep11(2026)042",
      "source": "feed-springer",
      "url": "https://link.springer.com/article/10.1007/JHEP11(2026)042"
    },
    {
      "first_seen": "2026-11-06T00:20:57Z",
      "native_id": "10.1007/jhep11(2026)042",
      "source": "crossref",
      "url": "https://link.springer.com/article/10.1007/JHEP11(2026)042"
    },
    {
      "first_seen": "2026-11-08T14:20:53Z",
      "native_id": "00e869c54c964559979b4ab309fd7aac",
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      "url": "https://doi.org/10.1007/jhep11(2026)042"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "feed-journal:physics/high-energy",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "lcc:QC770-798",
      "subfield": "nuclear"
    }
  ],
  "title": "Blowup relations and q-Painlevé VI",
  "title_text": "Blowup relations and q-Painlevé VI",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T14:20:53Z",
  "url": "https://research.draconitic.com/paper/bh4bsqrr6pfy7",
  "venue": "Journal of High Energy Physics",
  "versions": []
}