3277 — The Non-Abelian Moment Map Vanishes on Real Flavor Triplets
For an adjoint triplet the standard non-Abelian moment map is
It vanishes identically on the admitted real-triplet flavor domain. Parallel and orthogonal triplet frames therefore have distinct physical angular invariants but the same zero moment-map readout. The direct unified D-term candidate supplies neither angular rigidity nor an asymmetric portal.
Making the moment map nonzero requires complex-conjugate or cotangent
directions. That is an enlarged relational experiment with a changed state
domain, not descent of the operation to the existing physical16 quotient.
The surviving source class must instead act directly on real triplets, for
example through a derived tensor or F-term constraint.
Durable verification
- Packet: research/flavor/flavor-nonabelian-real-triplet-moment-map-no-go.md
- Checker: research/flavor/checkers/wp717_nonabelian_real_triplet_moment_map_no_go.py
- Result: research/flavor/results/wp717_nonabelian_real_triplet_moment_map_no_go.json
- Sequence claim:
seqclaim-fc21ebf2413684301d2a32e7 - Epistemic graph event:
ev-000000006937-6c5d5583-8067-4758-9d92-710571eb82ad