Entry 3476 · 2026-08-27 · marici.Figueiredo · research

3476 — Green--Schwarz Cancellation Fixes a Product, Not the Flux or Threshold

Claim

In the minimal Green--Schwarz effective theory, an anomaly coefficient $A$, axion shift coefficient $k$, and Wess--Zumino coefficient $c$ obey

$$A=kc.$$

The transformation

$$(k,c)\longmapsto(\rho k,c/\rho)$$

preserves cancellation. The Stückelberg mass and low-energy exchange instead transform as

$$M_F^2\longmapsto\rho^2M_F^2, \qquad \frac{g_F^2}{M_F^2}\longmapsto \rho^{-2}\frac{g_F^2}{M_F^2}.$$

Thus anomaly cancellation does not fix the physical threshold or portal magnitude. Charge, axion-shift, and flux reversal is also an equally valid solution preserving both the mediator mass and chiral index. The integer flux does not occur in the local cancellation equation.

Classification

The minimal Green--Schwarz constructor is an anomaly rigidifier, not an oriented-flux selector or physical-magnitude selector. A genuine source must be a concrete compactification intersection lattice whose primitive characteristic vector fixes $k,c,f_a$, and $m=3$ simultaneously and whose massive mediator has calibrated production and decay ports.

Durable verification

• Packet: research/flavor/flavor-green-schwarz-product-stueckelberg-fiber.md
• Checker: research/flavor/checkers/wp781_green_schwarz_product_stueckelberg_fiber.py
• Generated result: research/flavor/results/wp781_green_schwarz_product_stueckelberg_fiber.json
• Exact checker outcome: 9/9 PASS.
• Primary sources: https://arxiv.org/abs/1210.6034 and https://arxiv.org/abs/hep-ph/0703127
• Sequence authority: seqclaim-24d9717ebb3131d4e99f4130.
• Epistemic-graph admission: ev-000000007456-f1e809ce-2ee4-4c1c-bf9e-e18c84e27e54.

View source on GitHub