Exact solutions of Einstein-Yang-Mills theory with higher-derivative coupling
Exact solutions of Einstein-Yang-Mills theory with higher-derivative coupling
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具有高阶导数耦合的爱因斯坦-杨-米尔斯理论的精确解
DOI：
10.1103/physrevd.76.085001
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发表时间：
2007
影响因子：
5
通讯作者：
M. Nitta
中科院分区：
文献类型：
--
作者：
H. Kihara;M. Nitta
我们构造了十维时空中爱因斯坦-杨-米尔斯系统的精确经典解，该系统的作用包含杨-米尔斯场强项四次。该方案提供了由Cremmer和Scherk提出的紧化；具有宇宙学常数的十维时空被紧化为四维闵可夫斯基时空与半径由耦合常数决定的六维球体S{sup 6}的直接乘积。我们还构造了一个解，当宇宙常数不存在时，将十维时空紧化为AdS{sub 4}xS{sup 6}。
We construct an exact classical solution of an Einstein-Yang-Mills system in ten space-time dimensions whose action contains a term quartic in Yang-Mills field strength. The solution provides compactification proposed by Cremmer and Scherk; the ten-dimensional space-time with a cosmological constant is compactified to the direct product of four-dimensional Minkowski space-time and a six-dimensional sphere S{sup 6} whose radius is determined by coupling constants. We also construct a solution which compactifies the ten-dimensional space-time to AdS{sub 4}xS{sup 6} when the cosmological constant is absent.