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arXiv · 0709.0308

More Rings to rule them all : Fragmentation, 4D/5D and Split-Spectral Flows

Xerxes D. Arsiwalla
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Abstract

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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Xerxes D. Arsiwalla. 2007-09-03. More Rings to rule them all : Fragmentation, 4D/5D and Split-Spectral Flows. https://doi.org/10.1088/1126-6708%2F2008%2F02%2F066

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