{
  "abstract": "FINDING: Geometric Langlands program increasingly intersects with Weyl group/root system structures (icosahedral reflection groups, super Weyl groups), suggesting a deep combinatorial-geometric skeleton underlying the Langlands correspondence. | MATH: Weyl groups (e.g., H₃ icosahedral order 120, H₄ order 14400); root systems Φ with Cartan matrix A_ij = 2(α_i,α_j)/(α_j,α_j); Coxeter graphs encode relations (m_ij)^m = 1; super Weyl groups as quotients of basic classical Lie superalgebra Weyl groups (arXiv:2401.11068v2); Coulomb branches (BFN construction) as symplectic singularities with associated root data. | CONNECTION: Direct — Weyl groups of type H₃/H₄ are the icosahedral/dodecahedral reflection groups, whose Coxeter numbers (10, 30) and ratios (e.g., golden ratio φ = 1.618 appears in H₃ Cartan entries: A_ij = -φ for adjacent simple roots) embed geometric harmony. The geometric Langlands S-duality (Witten, Gukov) mirrors electric-magnetic duality where root lattice Λ_root and weight\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/350k61khv79f1.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635450",
  "fulltext_url": null,
  "id": "350k61khv79f1",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23635450",
  "language": "eng",
  "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": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/350k61khv79f1.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:21:54Z",
      "native_id": "23635450",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23635450"
    }
  ],
  "subjects": [],
  "title": "Geometric Langlands Meets Weyl Groups: Icosahedral Symmetries and Super Structures — E8 Intelligence Research",
  "title_text": "Geometric Langlands Meets Weyl Groups: Icosahedral Symmetries and Super Structures — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:54Z",
  "url": "https://research.draconitic.com/paper/350k61khv79f1",
  "venue": "Zenodo",
  "versions": []
}