Time Reversal, Pin± Structures, and Majorana Parity from Edge Anomaly Inflow
Fuente:
Zenodo
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Langue: | anglais |
| Publié: |
Zenodo
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866901809580212224 |
|---|---|
| author | Egbert, Daniel |
| author_facet | Egbert, Daniel |
| contents | <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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17009786 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Time Reversal, Pin± Structures, and Majorana Parity from Edge Anomaly Inflow Egbert, Daniel anomaly inflow time reversal symmetry Pin structures Majorana fermions Fidkowski–Kitaev reduction topological superconductors Majorana chains APS eta invariant lattice gauge theory universal selector <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> |
| title | Time Reversal, Pin± Structures, and Majorana Parity from Edge Anomaly Inflow |
| topic | anomaly inflow time reversal symmetry Pin structures Majorana fermions Fidkowski–Kitaev reduction topological superconductors Majorana chains APS eta invariant lattice gauge theory universal selector |
| url | https://doi.org/10.5281/zenodo.17009786 |