{
 "id": "LIB2-037",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The declared frame-free invariant class has no nonzero dark response",
 "statement": "The declared class Cff of twice-differentiable scalars invariant under the diagonal E7(7) action, with no spurion and a point source space, has no law with a nonzero dark response.",
 "scope": {
  "carrier": "(E7(7)/SU(8)) × OB",
  "domain": "The predeclared Cff class, not a basepointed full-carrier law.",
  "group": "Diagonal E7(7)",
  "hypotheses": [
   "The scalar is twice differentiable and invariant under the diagonal E7(7) action.",
   "There is no spurion, and the source space is a point."
  ],
  "physical_target": null,
  "quantifier": "The declared class only.",
  "real_form": "E7(7)/SU(8)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 166
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Appendix E",
  "section": "§6(ii), Frame-free diagonal-invariant scalar class",
  "pdf_page": 173,
  "quote": "For the class Cff of C 2 scalars on (E7(7) /SU (8)) × OB that are invariant under the diagonal E7(7) action, with no spurion and a point source space — declared before testing — there is no law with a nonzero dark response:"
 },
 "caution": "A basepointed full-carrier response exists outside this frame-free reading; its basepoint is convention-loaded.",
 "candidate_ids": [
  "C2-105"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-036"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.derivation"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.sources-receipt"
  }
 ],
 "url": "/library-v2/LIB2-037/",
 "content_sha256": "0248dcee47a0bf641325f2de9de0f5718a9e3511a14cb06c03985e8019ef353c",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}