论文标题
CFT在共同空位中
CFT in Conformally Flat Spacetimes
论文作者
论文摘要
提出了一种新的共形场理论，背景引力场在共形中是平坦的。共形平坦（CF）的空间享受与平时相似的共形性能。共形等轴测组是最大等级，并且在形式平坦的坐标中的保形杀伤向量与平面时空相同。在这项工作中，引入了一个新的距离概念，即{\ em共形距离}，该{\ em sonformal距离}在CF空间的所有共形异构体下进行了协变量。结果表明，对于CF空间而言，上述保形距离的足够功率是非最小d'Alembert方程的解决方案。
A new class of conformal field theories is presented, where the background gravitational field is conformally flat. Conformally flat (CF) spacetimes enjoy conformal properties quite similar to the ones of flat spacetime. The conformal isometry group is of maximal rank and the conformal Killing vectors in conformally flat coordinates are {\em exactly} the same as the ones of flat spacetime. In this work, a new concept of distance is introduced, the {\em conformal distance}, which transforms covariantly under all conformal isometries of the CF space. It is shown that precisely for CF spacetimes, an adequate power of the said conformal distance is a solution of the non-minimal d'Alembert equation.
