论文标题

从库仑到克尔 - 塔布·纳特的振幅

Amplitudes from Coulomb to Kerr-Taub-NUT

论文作者

Emond, William T., Huang, Yu-tin, Kol, Uri, Moynihan, Nathan, O'Connell, Donal

论文摘要

电磁二元性,纽曼 - 贾尼斯(Newman-Janis)的偏移和双重复制都是通过基础操作对三点振幅进行的。同时,他们生成了一个有趣的经典解决方案网络,该解决方案从库仑电荷到dyon到kerr-taub-nut时空。我们确定与这些解决方案相对应的幅度,这些幅度适用于旋转中的所有顺序,但要领导扰动顺序。我们确认当解决方案通过经典双复制相关时,振幅会双拷贝。在途中,我们表明Kerr-Taub-nut溶液对应于作用于Kerr溶液上的引力电磁二重性旋转,再次与自旋中的所有顺序相对应,并证明了渐近电荷在我们的操作下也很简单地转换。

Electric-magnetic duality, the Newman-Janis shift, and the double copy all act by elementary operations on three-point amplitudes. At the same time, they generate a network of interesting classical solutions spanning from the Coulomb charge via the dyon to the Kerr-Taub-NUT spacetime. We identify the amplitudes corresponding to each of these solutions, working to all orders in spin, but to leading perturbative order. We confirm that the amplitudes double-copy when the solutions are related by the classical double copy. Along the way we show that the Kerr-Taub-NUT solution corresponds to a gravitational electric-magnetic duality rotation acting on the Kerr solution, again to all orders in spin, and demonstrate that the asymptotic charges also transform simply under our operations.

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