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| Autor principal: | |
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| Formato: | Recurso digital |
| Idioma: | inglês |
| Publicado em: |
Zenodo
2025
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| Assuntos: | |
| Acesso em linha: | https://doi.org/10.5281/zenodo.17009786 |
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Sumário:
- <p>This is the 12th paper of this series.</p> <p>We show that the same universal anomaly inflow selector developed in earlier<br>papers (fixing charge quantization, spin sign, $g=2$, CKM determinants, and<br>millicharges) also enforces the famous Fidkowski–Kitaev reductions of Majorana<br>fermions. By analyzing Pin$^\pm$ structures and APS $\eta$-invariants, we prove<br>that inflow uniquely selects between Pin$^+$ and Pin$^-$ time-reversal classes,<br>thereby enforcing the $\mathbb{Z}_8$ reduction of class BDI chains and the<br>$\mathbb{Z}_{16}$ reduction of class DIII topological superconductors.</p> <p>Worked examples (a single Majorana cone in 3D DIII and a single Majorana chain<br>in 1D BDI) illustrate the mechanism. The appendices spell out the explicit<br>$\eta$-phases on $\mathbb{R}P^4$ and $\mathbb{R}P^2$ and tie them back to<br>Theorem 2.1.</p> <p>Phenomenological implications include half-quantized thermal Hall measurements<br>in proximitized topological insulators and candidate spin-liquid systems,<br>Majorana nanowire parity tests, and lattice probes of CP-odd observables at<br>$\theta=\pi$. The result provides a falsifiable selector principle in the same<br>spirit as earlier anomaly inflow results (P7–P10).</p>