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The Dirac equation on metrics of Eguchi-Hanson type

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arxiv 2305.18344 v1 pith:GJVVB3G5 submitted 2023-05-26 math.DG gr-qc

Zhuohua Cai , Xiao Zhang This is my paper · ORCID
classification math.DGgr-qc
keywords eguchi-hansonmetricsspinorscomplexparalleltypecurvaturedimensional
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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.

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