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arXiv 1208.0553hep-th
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超引力背景的齐次性定理

The homogeneity theorem for supergravity backgrounds

José Figueroa-O'Farrill, Noel Hustler

摘要:

我们证明了11维和10维(庞加莱)超引力背景下的强齐性猜想。换句话说,我们表明,任何背景的11维,I型/杂合或II型超引力理论保持一个分数大于一半的超对称性的基础理论必然是局部均匀的。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。

英文摘要:

We 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 greater than one half 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.

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