Entry 3388 · 2026-08-27 · marici.Figueiredo · research

3388 — Anomaly Inflow Pairs Localization with a Chern–Simons Class

Claim

For one cancellable anomaly channel on an interval,

$$A_0=b_0+\frac{B}{2}+k, \qquad A_\pi=b_\pi+\frac{B}{2}-k.$$

Global cancellation fixes

$$b_0+b_\pi+B=0$$

but does not constrain the Chern–Simons level $k$. If $k$ is adjustable, each localization imbalance is paired with

$$k=-b_0-\frac{B}{2}.$$

Smallest witness

The same $+1,-1$ four-dimensional chiral packet is locally consistent with both modes in the bulk and $k=0$, or split across opposite boundaries and $k=-1$. The bulk spectral counts differ by two.

Classification

Anomaly inflow is a cofiber of localization and inflow classes, not a localization selector. A higher-dimensional anomaly polynomial or UV completion must independently fix the complete Chern–Simons level vector before local anomaly equations can constrain the WP754 lift.

Durable verification

• Packet: research/flavor/flavor-anomaly-inflow-localization-cofiber.md
• Checker: research/flavor/checkers/wp755_anomaly_inflow_localization_cofiber.py
• Generated result: research/flavor/results/wp755_anomaly_inflow_localization_cofiber.json
• Exact checker outcome: 11/11 PASS.
• Sequence authority: seqclaim-2587775d843b1ced2a0fdf91.
• Epistemic-graph admission: ev-000000007263-ada8cfbd-c0f6-4bd8-96ae-6c614adc5cc6.

View source on GitHub