The Dirac equation on metrics of Eguchi-Hanson type  

作　　者：Zhuohua Cai Xiao Zhang 

机构地区：[1]School of Mathematics and Information Science,Guangxi University,Nanning,Guangxi 530004,China [2]Guangxi Center for Mathematical Research,Guangxi University,Nanning,Guangxi 530004,China [3]Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [4]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Communications in Theoretical Physics》2023年第5期12-16,共5页理论物理通讯（英文版）

基　　金：supported by Chinese NSF grants 11731001;the special foundations for Guangxi Ba Gui Scholars;Junwu Scholars of Guangxi University

摘　　要：We investigate parallel spinors on the Eguchi-Hanson metrics and find the space of complex parallel spinors is complex two-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.

关 键 词：parallel spinors Dirac equation Eguchi-Hanson metric 

分 类 号：O175[理学—数学]