{
  "abstract": "We show that the null-state-type partial differential equations recently derived from AdS gravity with a black hole can be efficiently organized using finite-dimensional matrices with systematic off-diagonal structures. This matrix formulation generates an infinite tower of CFT differential equations at arbitrary levels. The $d=2$ matrix reproduces a known result based on Virasoro null-state vectors at large central charge and admits an algebraic representation in terms of a linear combination of the identity matrix and $\\mathfrak{sl}_2$ generators, with a heavy-state deformation encoding the central charge contribution. The $d=4$ governing matrix exhibits a similar yet richer structure involving products of $\\mathfrak{sl}_2$ generators. We also discuss recursion relations and factorized product structures associated with these holographic differential equations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02855",
  "author_total": 1,
  "authors": [
    {
      "name": "Kuo-Wei Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f6t0fedxqsvwc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02855",
  "fulltext_url": null,
  "id": "f6t0fedxqsvwc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02855",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02855",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f6t0fedxqsvwc.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.02855",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02855"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A Matrix View of Holographic Null-State Equations in $d\\geq 2$",
  "title_text": "A Matrix View of Holographic Null-State Equations in d≥ 2",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:18Z",
  "url": "https://research.draconitic.com/paper/f6t0fedxqsvwc",
  "venue": "arXiv",
  "versions": []
}