更多的环来统治它们：碎片化，4D/5D和分裂光谱流
More Rings to rule them all : Fragmentation, 4D/5D and Split-Spectral Flows
摘要：
在这篇文章中，我们建立了一个明确的AdS-碎片化的5D结构，其中一个单一的黑色环分裂成一个多黑色环配置。此外，可以看出，这些破碎的环相当于一个直接的5D电梯的4D多中心黑洞。在此过程中，我们还确定了与多中心电荷相关的4D/5D变换。可以看出，黑环碎裂中涉及的物理电荷是由于5D Chern-Simons项而产生的Page电荷。作为这些方法的一个应用，我们再现了同心黑环的总角动量，最初是由于Gauntlett和Gutowski。最后，我们提供了一个几何解释碎片的黑色环使用分裂光谱流的想法，它旨在研究一个给定的黑色环由于在多环背景中产生的通量的电荷移位。
英文摘要：
In this note we set-up an explicit 5D construction of AdS-fragmentation, whereby a single black ring splits-up into a multi-black ring configuration. Furthermore it is seen that these fragmented rings are equivalent to a direct 5D lift of 4D multi-center black holes. Along the way we also determine the 4D/5D transformations relevant for multi-center charges. It is seen that the physical charges involved in black ring fragmentation are Page charges arising due to 5D Chern-Simons terms. As an application of these methods, we reproduce the total angular momentum of concentric black rings, originally due to Gauntlett and Gutowski. Finally we provide a geometric interpretation of fragmented black rings using the idea of split-spectral flows, which seeks to study charge shifts of a given black ring due to fluxes generated in a multi-ring background.
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