摘要
本文借助调和映射理论用八维Rieman流形描述了SU(2)与SU(3)自偶Yang-Mills自由源场方程的完全可积系统。确定了16个独立的Killing矢量场;构造了解到解映射的两个变换群;并据逆散射方法提出并阐述了关于该系统完全可积性的猜想。
With the theory of harmonic maps and the eight-dimensional Riemannian manifold, the completely integrable SU(2) and SU(3) self dual Yang-Mills source-free field equations are described. Sixteen independent Killing vector fields are determined, two transformation groups which map solutions into solutions are constructed, and a conjecture on the complete integrabi- lity of systems by the inverse scattering method is formulated.
出处
《高能物理与核物理》
CSCD
北大核心
1992年第5期408-413,共6页
High Energy Physics and Nuclear Physics
