{
 "id": "LIB2-016",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The physical-vector ten and selector ten are isomorphic modules",
 "statement": "Inside V56, the so(5,5) physical-vector ten is isomorphic to the selector ten as a Kdyn module, with Casimir 1/6.",
 "scope": {
  "carrier": "Physical/vector ten and selector ten in V56",
  "domain": "Appendix X's three-ten carrier fence.",
  "group": "Kdyn",
  "hypotheses": [
   "The two named carriers and the registered Kdyn action and normalization are fixed."
  ],
  "physical_target": null,
  "quantifier": "These two modules in the frozen carrier.",
  "real_form": "so(5,5) vector within the real split-exceptional carrier"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 349
 },
 "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 X",
  "section": "Carrier fence beside clause 27: three tens",
  "pdf_page": 371,
  "quote": "The physical/vector ten (the so(5, 5) vector inside V56 , Kdyn -Casimir 1/6) is isomorphic to the selector ten (two-host certified; kernel s1067)"
 },
 "caution": "This module isomorphism does not identify either ten with the distinct boundary-adjoint module.",
 "candidate_ids": [
  "C2-109"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [],
 "url": "/library-v2/LIB2-016/",
 "content_sha256": "ca4cc4281346dfadf496b252db2eb2d2e71ccfc7d4aacd3bada2aa836e053a16",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}