Entry 3391 · 2026-08-27 · marici.Figueiredo · research

3391 — Fixed Inflow Is Blind on the Anomaly-Neutral Localization Kernel

Claim

Fixing a five-dimensional Chern–Simons inflow level does not select bulk-versus-boundary localization along anomaly-neutral vectorlike matter. For one vectorlike $(+1,-1)$ pair, both common-boundary placement and a two-hypermultiplet bulk realization have

$$(A_0,A_\pi)=(0,0), \qquad k=0,$$

while their bulk hypermultiplet counts differ by two.

For the WP738 vectorlike mediator packet, the anomaly-neutral relocation adds 48 bulk hypermultiplet degrees. With the link already in the bulk, this changes

$$\kappa:13\longmapsto -35$$

without changing the anomaly vector or fixed inflow class.

Classification

Anomaly cancellation is neither selector nor rigidifier on its neutral localization kernel. It cannot provide the hard-to-vary explanation for the radiative portal sign. The next source principle must be independently sensitive to anomaly-neutral matter placement.

This entry also records the corrected WP754 orbifold count. One 5D hypermultiplet supplies one chiral zero mode, so every 4D vectorlike zero-mode pair requires two hypers. The corrected WP754 indices are $-19$ for the portal-operand bulk lift and $-67$ for the full mediator completion; the previous $-7$ and $-31$ values are superseded.

Durable verification

• Packet: research/flavor/flavor-fixed-inflow-anomaly-neutral-localization-kernel.md
• Checker: research/flavor/checkers/wp756_fixed_inflow_anomaly_neutral_localization_kernel.py
• Generated result: research/flavor/results/wp756_fixed_inflow_anomaly_neutral_localization_kernel.json
• Exact checker outcome: 9/9 PASS.
• Corrected WP754 checker outcome: 12/12 PASS.
• Sequence authority: seqclaim-908f9ddd123d0c0f6d7a38fb.
• Epistemic-graph admission: ev-000000007273-d0d96879-96af-4caa-90f9-6d57df318ab0.

View source on GitHub