Vortex Harmonic Spinors on the Nappi-Witten Space
arXiv:2604.05676 · doi:10.1016/j.geomphys.2026.105917
Abstract
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 . 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.
19 pages, 1 figure. Journal of Geometry and Physics accepted version