Entry 3379 · 2026-08-27 · marici.Figueiredo · research

3379 — Exact Extended Supersymmetry Normalizes Away the Extra Portal

Claim

In the declared canonical $N=2$ gauge-hypermultiplet normalization, $y_{\mathrm{hyper}}^2=2g^2$. The interaction is therefore tied to the gauge metric rather than assigned an independent Wilson coefficient.

Exact $N=2$, however, has no soft scalar mass in the gauge-breaking sector:

$$m_{\mathrm{soft}}^2=0, \qquad \epsilon=0.$$

The additional nondecoupling $D$-term portal vanishes.

Broken-symmetry residual

Breaking to $N=1$ restores a soft mass $cx^2$, but also restores the breaking scale $x$ and Wilson coefficient $c$. Even after imposing $x^2=g^2v^2$,

$$\epsilon=\frac{c}{2q^2+c}.$$

At $q^2=1$, $c=1$ and $c=3$ produce portal contrasts differing by $2g^2/15$.

Classification

Exact extended supersymmetry is an operator normalizer with zero additional portal. Generic local breaking permits the portal but reintroduces the coefficient fiber. A viable successor must derive and quantize the breaking constructor itself.

Durable verification

• Packet: research/flavor/flavor-extended-susy-normalization-nondecoupling-dichotomy.md
• Checker: research/flavor/checkers/wp751_extended_susy_normalization_nondecoupling_dichotomy.py
• Generated result: research/flavor/results/wp751_extended_susy_normalization_nondecoupling_dichotomy.json
• Exact checker outcome: 14/14 PASS.
• Sequence authority: seqclaim-3d9bf6c33c70c28e33c8107e.
• Epistemic-graph admission: ev-000000007242-83abc66f-e882-4558-9eac-035e6e479cb0.

View source on GitHub