A global solution of the Einstein-Yang-Mills equation on the conformal space

作     者：陆启铿 

作者机构：Institute of Mathematics Acad. of Math. and Systems Science Chinese Academy of Sciences Beijing 100080 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2002年第45卷第3期

页      面：342-355页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work was partially supported by the Ministry of Science and Technology, the National Natural Science Foundation of China (Grant No.19631010) Fundamental Research Bureau of CAS. 

主　　题：Einstein-Yang-Mills equaton, su(N)-connection, conformal space, large N limit. 

摘      要：The method used to construct the SU(2) Yang-Mills field on a compactified Minkowski space-M(which is equivalent to the conformal space) is generalized to construct an SU(N)(N 2) Yang-Mills fieldFjκ on M. It is proved that both Fjκ and the invariant metric tensor gjκ of M satisfy the Einstein-Yang-Mills equation. The case of N →∞ is also discussed.