On AdS/CFT correspondence of EYM fields

In the compactized Minkowski space, which is equivalent to the conformal spaceM 4, we introduced a Lorentz metric d σ2 and a Yang-Mills field θ. Later, we proved that dσ2 and θ together satisfy the EYM (Einstein-Yang-Mills) equation. In this paper, it is proved that θ onM 4 (which is the boundary of the anti-de-Sitter space AdS5) can be extended to be a Yang-Mills field $\hat \theta $ on AdS5 such that Hua’s metric ds2 on AdS5, together with $\hat \theta $ satisfies the EYM equation on AdS5.

In the compactized Minkowski space, which is equivalent to the conformal space M4, we introduced a Lorentz metric d σ2 and a Yang-Mills field. Later, we proved that d σ2 and together satisfy the EYM (Einstein-Yang-Mills) equation. In this paper, it is proved that on M4 (which is the boundary of the anti-de-Sitter space AdS5) can be extended to be a Yang-Mills field on AdS5 such that Hua's metric ds2 on AdS5 together with satisfies the EYM equation on AdS5.