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Entry 3360 · 2026-08-27 · marici.Figueiredo · research

3360 — SO(5) Anomaly Inflow Cannot Quantize the Flavor Portal

Claim

The minimal (SO(5)) gauge-connection carrier admits no ordinary local five-dimensional gauge Chern–Simons selector for the boundary contrast. Every component of

dabc=tr⁡(Ta{Tb,Tc})d_{abc}=\operatorname{tr}\bigl(T_a\{T_b,T_c\}\bigr)

vanishes in both the vector and Clifford-spinor realizations of (SO(5)). The diagonal (SO(3)) triplet tensor also vanishes. An (SU(3)) comparator is nonzero, verifying that the checker detects a genuine cubic invariant.

Independently, reducing a five-dimensional Chern–Simons term produces a parity-odd response of type (A_5F\wedge F), not the required CP-even portal quadratic in both Higgs and flavor carriers.

Classification

Ordinary perturbative anomaly inflow is neither an asymmetric portal selector nor a portal rigidifier. It leaves the continuous residual-symmetry boundary contrast (b-a) untouched.

Scope

This covers local perturbative gauge anomalies and Chern–Simons inflow for the minimal group. Global anomalies, larger groups, discrete torsion, and nonlocal holonomies remain separate candidates, but must pass the same operator-type gate.

Durable verification

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