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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.05676 |
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| _version_ | 1866910280857944064 |
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| author | Ross, Calum Galán, Raúl Sánchez |
| author_facet | Ross, Calum Galán, Raúl Sánchez |
| contents | We establish a correspondence between vortex equations on flat Riemann surfaces and harmonic spinors on the Nappi--Witten space, the group manifold of a central extension of the Euclidean group $SE(2)$. Vortex configurations lift naturally to this setting, producing explicit solutions of a twisted Dirac equation. Using the conformal flatness of the Nappi--Witten metric, these solutions induce harmonic spinors on four-dimensional Minkowski space. This yields a geometric construction of Abelian magnetic zero-modes on flat Minkowski spacetime from vortex data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05676 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Vortex Harmonic Spinors on the Nappi-Witten Space Ross, Calum Galán, Raúl Sánchez High Energy Physics - Theory Differential Geometry We establish a correspondence between vortex equations on flat Riemann surfaces and harmonic spinors on the Nappi--Witten space, the group manifold of a central extension of the Euclidean group $SE(2)$. Vortex configurations lift naturally to this setting, producing explicit solutions of a twisted Dirac equation. Using the conformal flatness of the Nappi--Witten metric, these solutions induce harmonic spinors on four-dimensional Minkowski space. This yields a geometric construction of Abelian magnetic zero-modes on flat Minkowski spacetime from vortex data. |
| title | Vortex Harmonic Spinors on the Nappi-Witten Space |
| topic | High Energy Physics - Theory Differential Geometry |
| url | https://arxiv.org/abs/2604.05676 |