论文标题
压实Kerr-Schild双复制
Compactifying the Kerr-Schild Double Copy
论文作者
论文摘要
我们表明，Kerr-Schild SpaceTimes的经典双复制关系可以在尺寸上缩小，从而为Kaluza-Klein理论的双复制提供了自然的概念，重力与仪表场和Dilaton相连。在尺寸还原下，Kerr-Schild（KS）Ansatz成为WU引入的尖锐的Kerr-Schild（SKS）Ansatz。这个Ansatz捕获了许多Kaluza-Klein黑洞解决方案，包括在衡量和未加盖的超级理论中出现的单电荷黑洞。我们确定任意SKS解决方案的单复制量规场和标量字段。我们表明，生成带电的黑洞溶液的增压程序可以推广到任何固定的KS种子，并用来将度量与该种子的零体和单个拷贝组合到单个SKS溶液中。此外，我们对可以用多SKS形式编写的多电荷解决方案发表评论，提出了涉及多个单个副本领域的双复制解释。
We show that the classical double copy relationship for Kerr-Schild spacetimes can be dimensionally reduced to give a natural notion of the double copy for Kaluza-Klein theory with gravity coupled to a gauge field and a dilaton. Under dimensional reduction the Kerr-Schild (KS) ansatz becomes the stringy Kerr-Schild (sKS) ansatz introduced by Wu. This ansatz captures many Kaluza-Klein black hole solutions, including single-charge black holes arising in both gauged and ungauged supergravity theories. We identify the single copy gauge field and scalar field of an arbitrary sKS solution. We show that the boost-reduction procedure for generating charged black hole solutions can be generalized to any stationary KS seed, and used to combine the metric with the zeroth and single copies of that seed into a single sKS solution. Furthermore, we comment on multi-charge solutions that can be written in a multi-sKS form, proposing a double copy interpretation involving multiple single copy sectors.
