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arXiv 0811.0538hep-thgr-qc
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将Taub-NUT提升到BPS NUT波

Boosting Taub-NUT to a BPS NUT-wave

Riccardo Argurio, François Dehouck, Laurent Houart

摘要:

结果表明,ADM质量为零的推升Taub-NUT度规在推升方向上具有一个对偶动量,这说明在线性化引力中存在另一个与NUT荷相关联的、与通常的P μ对偶的4矢量K μ。取无限升压极限,我们得到一个冲击pp波与NUT电荷。我们表明,后者是引力对偶的无限提升史瓦西度规,也被称为Aichelburg-Sexl pp波。我们回顾了这样一个事实,即这种新的冲击pp波也是N=1超引力的半BPS解。它的BPS界等于K_t= |K_z|。

英文摘要:

The boosted Taub-NUT metric with zero ADM mass is shown to possess a dual momentum in the direction of the boost giving credit to the existence of another 4-vector K_μin linearized gravity associated to the NUT charge and dual to the usual P_μ. Taking the infinite boost limit we obtain a shock pp-wave with NUT charge. We show that the latter is the gravitational dual of the infinitely boosted Schwarzschild metric, also known as the Aichelburg-Sexl pp-wave. We review the fact that this new shock pp-wave is also an half-BPS solution of N=1 supergravity. It has a BPS bound equal to K_t=|K_z|.

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