The Dirac equation on metrics of Eguchi-Hanson type
arXiv:2305.18344 · doi:10.1088/1572-9494/acc7f3
Abstract
We investigate parallel spinors on the Eguchi-Hanson metrics and find the space of complex parallel spinors are complex 2-dimensional. For the metrics of Eguchi-Hanson type with the zero scalar curvature, we separate variables for the harmonic spinors and obtain the solutions explicitly.
11 pages