The homogeneity theorem for supergravity backgrounds
The homogeneity theorem for supergravity backgrounds
复制标题
超重力背景的均匀性定理
DOI：
10.1007/jhep10(2012)014
复制
发表时间：
2012
影响因子：
5.4
通讯作者：
Noel Hustler
中科院分区：
文献类型：
--
作者：
J. Figueroa;Noel Hustler
本文证明了11维和10维（Poincaré）超引力背景下的强齐性猜想。换句话说，我们证明了任何11维，I型/杂合或II型超引力理论的背景保持一个分数$\nu >\frac{1}{2}$的基础理论的超对称性必然是局部均匀的。此外，我们还证明了均匀性正是由于超对称性，因此在时空的每一点上，我们都可以找到一个由Killing旋量构造的Killing向量构成的切空间的标架。
A bstractWe prove the strong homogeneity conjecture for eleven- and ten-dimensional (Poincaré) supergravity backgrounds. In other words, we show that any backgrounds of 11- dimensional, type I/heterotic or type II supergravity theories preserving a fraction $\nu >\frac{1}{2}$ of the supersymmetry of the underlying theory are necessarily locally homogeneous. Moreover we show that the homogeneity is due precisely to the supersymmetry, so that at every point of the spacetime one can find a frame for the tangent space made out of Killing vectors constructed out of the Killing spinors.