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A global solution of the Einstein-Yang-Mills equation on the conformal space |
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| Authors: | |
| Institution: | Dedicated to the 90th birthday of late Prof. L. K. Hua, my esteemed teacher Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | 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. |
| Keywords: | Einstein-Yang-Mills equaton su(N)-connection conformal space large N limit |
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