{
  "abstract": "FINDING: Defect McKay-Thompson series for the Monster CFT generalize the genus-zero property of Monstrous Moonshine to twined partition functions with line defects inserted. | MATH: T_g(q) = Σ tr(g|V_n) q^n forms Hauptmoduln for genus-zero subgroups Γ_g ⊂ SL(2,ℝ); Lin–Shao (2021) construct defect-twined analogues T_{g,D}(q) where D is a topological line defect, conjecturally also Hauptmoduln. Modular invariance group of the defect theory constrains the series. | CONNECTION: Genus-zero condition ↔ modular curve X(Γ_g) has genus 0 ↔ rational parametrization by a single Hauptmodul; the Monster's 194 conjugacy classes map to 171 distinct genus-zero groups (Thompson). Moonshine coefficients encode dimensions of Monster irreps: 196884 = 196883 + 1, where 196883 is the smallest nontrivial Monster irrep dimension. These integers relate to the Leech lattice (24-dim even unimodular, no roots) and its automorphism group Co_0 → Monster. | DEPTH: 9\n\n---\n\n**1. Key mathematical insight**\n\nThe 1992 Mo\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/6jgkqdfs1xgtv.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658586",
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  "id": "6jgkqdfs1xgtv",
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  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6jgkqdfs1xgtv.ris",
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    {
      "first_seen": "2026-11-09T12:21:35Z",
      "native_id": "23658586",
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  "title": "Defect McKay-Thompson Series and Genus-Zero Monstrous Moonshine — E8 Intelligence Research",
  "title_text": "Defect McKay-Thompson Series and Genus-Zero Monstrous Moonshine — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:35Z",
  "url": "https://research.draconitic.com/paper/6jgkqdfs1xgtv",
  "venue": "Zenodo",
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