{
  "title": "Higher-Spin and Vector-Model Holography: validity and failure map",
  "chapter": "Higher-Spin and Vector-Model Holography",
  "kind": "validity-failure",
  "schematic": true,
  "not_to_scale": true,
  "stages": [
    "vector-model large-N data",
    "higher-spin algebra and fields",
    "boundary conditions and correlators",
    "breaking and tensionless tests",
    "non-Einstein bulk regime"
  ],
  "claims": [
    {
      "object": "higher-spin dictionary",
      "required_declaration": "boundary model, parity phase, and global data",
      "diagnostic": "three-point and Ward-identity tests",
      "licensed_conclusion": "a controlled correlator match",
      "unsupported_promotion": "local Einstein gravity"
    },
    {
      "object": "alternate boundary condition",
      "required_declaration": "scalar branch and double-trace flow",
      "diagnostic": "critical/free endpoint comparison",
      "licensed_conclusion": "a map between stated models",
      "unsupported_promotion": "unchanged bulk theory at all orders"
    },
    {
      "object": "symmetry breaking",
      "required_declaration": "coupling and anomalous dimensions",
      "diagnostic": "gap and locality diagnostics",
      "licensed_conclusion": "a deformation away from the symmetric point",
      "unsupported_promotion": "automatic string completion"
    }
  ],
  "takeaway": "Higher-spin/vector-model dualities define controlled non-Einstein regimes; restoring a large higher-spin gap is a separate dynamical problem."
}