{
  "title": "AdS3/CFT2 and Three-Dimensional Gravity: structure map",
  "chapter": "AdS3/CFT2 and Three-Dimensional Gravity",
  "kind": "structure",
  "schematic": true,
  "not_to_scale": true,
  "stages": [
    "CFT2 and global data",
    "AdS3 boundary conditions",
    "Virasoro or Chern-Simons structure",
    "BTZ and modular checks",
    "three-dimensional gravity claim"
  ],
  "claims": [
    {
      "object": "Brown-Henneaux symmetry",
      "required_declaration": "boundary falloffs and charge normalization",
      "diagnostic": "central extension and integrability",
      "licensed_conclusion": "asymptotic Virasoro algebra",
      "unsupported_promotion": "a complete Hilbert space"
    },
    {
      "object": "BTZ saddle",
      "required_declaration": "ensemble, identifications, and spin",
      "diagnostic": "thermodynamic and modular check",
      "licensed_conclusion": "controlled black-hole sector",
      "unsupported_promotion": "all heavy CFT states are BTZ geometries"
    },
    {
      "object": "pure gravity proposal",
      "required_declaration": "spectrum, topology sum, and global form",
      "diagnostic": "unitarity and modular consistency",
      "licensed_conclusion": "a candidate partition function or sector",
      "unsupported_promotion": "established nonperturbative theory"
    }
  ],
  "takeaway": "AdS3/CFT2 combines unusually strong symmetry with global and spectral subtleties; BTZ control does not settle pure quantum gravity."
}