{
  "abstract": "A bstract : We study the differential equations that follow from Yangian symmetry which was recently observed for a large class of conformal Feynman graphs, originating from integrable ‘fishnet’ theories. We derive, for the first time, the explicit general form of these equations in the most useful conformal cross-ratio variables, valid for any spacetime dimension. This allows us to explore their properties in detail. In particular, we observe that for general Feynman graphs a large set of terms in the Yangian equations can be identified with famous GKZ (Gelfand-Kapranov-Zelevinsky) hypergeometric operators. We also show that for certain nontrivial graphs the relation with GKZ systems is exact, opening the way to using new powerful solution methods. As a side result, we also elucidate the constraints on the topology and parameter space of Feynman graphs stemming from Yangian invariance.",
  "abstract_shown": true,
  "affiliations": [
    "City St George’s, University of London",
    "Nordita, KTH Royal Institute of Technology and Stockholm University"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Fedor Levkovich-Maslyuk",
      "orcid": "0000-0003-4159-9358"
    },
    {
      "affs": [
        1
      ],
      "name": "Victor Mishnyakov",
      "orcid": "0000-0002-7160-5598"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6n1y0q63fpche.bib",
  "cited_by": 1,
  "doi": "10.1007/jhep10(2026)220",
  "fulltext_url": "https://doi.org/10.1007/JHEP10(2026)220",
  "id": "6n1y0q63fpche",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/article/10.1007/JHEP10(2026)220",
  "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": [
    [
      "lcc",
      "QC770-798"
    ],
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      "openalex",
      "3106|Black Holes and Theoretical Physics"
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  "openalex": "W4405902421",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP10(2026)220.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/6n1y0q63fpche.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "10.1007/jhep10(2026)220",
      "source": "crossref",
      "url": "https://link.springer.com/article/10.1007/JHEP10(2026)220"
    },
    {
      "first_seen": "2026-10-30T13:45:33Z",
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      "url": "https://doi.org/10.1007/jhep10(2026)220"
    }
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  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3106|Black Holes and Theoretical Physics",
      "subfield": "high-energy"
    }
  ],
  "title": "Yangian symmetry, GKZ equations and integrable Feynman graphs in conformal variables",
  "title_text": "Yangian symmetry, GKZ equations and integrable Feynman graphs in conformal variables",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:45:33Z",
  "url": "https://research.draconitic.com/paper/6n1y0q63fpche",
  "venue": "Journal of High Energy Physics",
  "versions": []
}