Skenderis Kostas, Townsend Paul K
Institute for Theoretical Physics, University of Amsterdam, The Netherlands.
Phys Rev Lett. 2006 May 19;96(19):191301. doi: 10.1103/PhysRevLett.96.191301. Epub 2006 May 16.
We show that all domain-wall solutions of gravity coupled to scalar fields for which the world-volume geometry is Minkowski or anti-de Sitter admit Killing spinors, and satisfy corresponding first-order equations involving a superpotential determined by the solution. By analytic continuation, all flat or closed Friedmann-Lemaître-Robertson-Walker cosmologies are shown to satisfy similar first-order equations arising from the existence of "pseudo Killing" spinors.
我们证明,对于世界体积几何为闵可夫斯基或反德西特的引力与标量场耦合的所有畴壁解,都允许存在克利福德旋量,并满足由该解确定的涉及超势的相应一阶方程。通过解析延拓,所有平坦或封闭的弗里德曼 - 勒梅特 - 罗伯逊 - 沃克宇宙学都被证明满足由“伪克利福德”旋量的存在而产生的类似一阶方程。