{
  "abstract": "We consider correlation functions of massless fields in three-dimensional Anti-de Sitter spacetime. Using embedding-space spinors akin to spinor helicity variables, we show that masslessness implies holomorphicity. We perform a deformation of the spinors, analogous to the BCFW shift for flat-space amplitudes, to bootstrap correlation functions of Chern-Simons theory in the bulk. We show that the resulting recursion relations in the bulk ${\\rm AdS}_3$ are equivalent to the usual ${\\rm CFT}_2$ Ward identities for the boundary conserved currents. The double copy of those recursion relations is equivalent to the Ward identities for the stress-energy tensor. Our findings illustrate how modern amplitude techniques can shed new light on CFT correlators, and provide a novel interpretation of fundamental results in two-dimensional conformal field theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12046",
  "author_total": 3,
  "authors": [
    {
      "name": "Grégoire Mathys"
    },
    {
      "name": "Guilherme L. Pimentel"
    },
    {
      "name": "Facundo Rost"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3sa6apqdy2pwe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12046",
  "fulltext_url": null,
  "id": "3sa6apqdy2pwe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12046",
  "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",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7212564129",
  "pdf_url": "https://arxiv.org/pdf/2609.12046",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3sa6apqdy2pwe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2609.12046",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12046"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "$\\boldsymbol{{\\rm AdS}_3}$ Recursion Relations, Double Copy and $\\boldsymbol{{\\rm CFT}_2}$ Ward Identities",
  "title_text": "AdS_3 Recursion Relations, Double Copy and CFT_2 Ward Identities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:07Z",
  "url": "https://research.draconitic.com/paper/3sa6apqdy2pwe",
  "venue": "arXiv",
  "versions": []
}