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

TL;DR

This paper constructs explicit 5D models of black ring fragmentation, linking them to 4D multi-center black holes, and introduces split-spectral flows for understanding charge shifts in multi-ring systems.

Contribution

It provides a new explicit 5D construction of black ring fragmentation and connects it to 4D multi-center black holes, including a geometric interpretation via split-spectral flows.

Findings

Explicit 5D construction of black ring fragmentation

Equivalence of fragmented rings to 4D multi-center black holes

Reproduction of total angular momentum of concentric black rings

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.