{
  "title": "Representative claim domains and validity boundaries for Higher-Spin and Vector-Model Holography",
  "table_id": "higher-spin-and-vector-model-holography-claim-domain-table",
  "columns": [
    {
      "key": "claim_object",
      "label": "Claim object"
    },
    {
      "key": "state_ensemble_and_conventions",
      "label": "State, ensemble, and conventions"
    },
    {
      "key": "approximation_status_and_evidence_timing",
      "label": "Approximation, status, and evidence timing"
    },
    {
      "key": "uncertainty_and_counterevidence",
      "label": "Uncertainty and counterevidence"
    },
    {
      "key": "falsifier",
      "label": "Falsifier"
    },
    {
      "key": "failure_condition",
      "label": "Failure condition"
    },
    {
      "key": "licensed_conclusion",
      "label": "Licensed conclusion"
    }
  ],
  "records": [
    {
      "claim_object": {
        "text": "higher-spin dictionary",
        "html": "higher-spin dictionary"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare boundary model, parity phase, and global data; use the volume conventions unless the page states a local replacement.",
        "html": "Declare boundary model, parity phase, and global data; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Dictionary entry or correspondence claim. Control chain: vector-model large-N data → higher-spin algebra and fields → boundary conditions and correlators → breaking and tensionless tests → non-Einstein bulk regime. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Dictionary entry or correspondence claim. Control chain: vector-model large-N data → higher-spin algebra and fields → boundary conditions and correlators → breaking and tensionless tests → non-Einstein bulk regime. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_and_counterevidence": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “three-point and Ward-identity tests” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “three-point and Ward-identity tests” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "three-point and Ward-identity tests",
        "html": "three-point and Ward-identity tests"
      },
      "failure_condition": {
        "text": "local Einstein gravity",
        "html": "local Einstein gravity"
      },
      "licensed_conclusion": {
        "text": "a controlled correlator match",
        "html": "a controlled correlator match"
      }
    },
    {
      "claim_object": {
        "text": "alternate boundary condition",
        "html": "alternate boundary condition"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare scalar branch and double-trace flow; use the volume conventions unless the page states a local replacement.",
        "html": "Declare scalar branch and double-trace flow; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Model-specific calculation or conditional result. Control chain: vector-model large-N data → higher-spin algebra and fields → boundary conditions and correlators → breaking and tensionless tests → non-Einstein bulk regime. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: vector-model large-N data → higher-spin algebra and fields → boundary conditions and correlators → breaking and tensionless tests → non-Einstein bulk regime. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_and_counterevidence": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “critical/free endpoint comparison” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “critical/free endpoint comparison” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "critical/free endpoint comparison",
        "html": "critical/free endpoint comparison"
      },
      "failure_condition": {
        "text": "unchanged bulk theory at all orders",
        "html": "unchanged bulk theory at all orders"
      },
      "licensed_conclusion": {
        "text": "a map between stated models",
        "html": "a map between stated models"
      }
    },
    {
      "claim_object": {
        "text": "symmetry breaking",
        "html": "symmetry breaking"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare coupling and anomalous dimensions; use the volume conventions unless the page states a local replacement.",
        "html": "Declare coupling and anomalous dimensions; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Conditional theorem or structural result. Control chain: vector-model large-N data → higher-spin algebra and fields → boundary conditions and correlators → breaking and tensionless tests → non-Einstein bulk regime. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Conditional theorem or structural result. Control chain: vector-model large-N data → higher-spin algebra and fields → boundary conditions and correlators → breaking and tensionless tests → non-Einstein bulk regime. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_and_counterevidence": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “gap and locality diagnostics” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “gap and locality diagnostics” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "gap and locality diagnostics",
        "html": "gap and locality diagnostics"
      },
      "failure_condition": {
        "text": "automatic string completion",
        "html": "automatic string completion"
      },
      "licensed_conclusion": {
        "text": "a deformation away from the symmetric point",
        "html": "a deformation away from the symmetric point"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}