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More Rings to rule them all : Fragmentation, 4D/5D and Split-Spectral Flows
High Energy Physics - Theory · Submitted 3 Sep 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | contribution 0.98 | 0.94 | 0.51 | asserted 1.00 |
| s1 | Furthermore it is seen that these fragmented rings are equivalent to a direct 5D lift of 4D multi-center black holes. | result 0.96 | 0.81 | 0.25 | asserted 1.00 |
| s2 | Along the way we also determine the 4D/5D transformations relevant for multi-center charges. | contribution 0.70 | 0.91 | 0.06 | asserted 1.00 |
| s3 | It is seen that the physical charges involved in black ring fragmentation are Page charges arising due to 5D Chern-Simons terms. | result 0.98 | 0.84 | 0.10 | asserted 1.00 |
| s4 | As an application of these methods, we reproduce the total angular momentum of concentric black rings, originally due to Gauntlett and Gutowski. | result 0.86 | 0.86 | 0.07 | asserted 1.00 |
| s5 | 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. | interpretation 0.72 | 0.87 | 0.16 | asserted 0.97 |
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The paper
Original 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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How the literature uses it
1 arXiv paper cite this in 4 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 1 paper
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The physical interpretation of spectral flow for black rings has been discussed in [ref] .
Entropy Functions with 5D Chern-Simons terms · Spectral flow invariance of the black ring entropy function · 0.85
What it cites · 76 sentences without a confident label
Builds on 4 papers
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Adapting the results of [ref] to the present context of fragmented rings, we now argue that the $Q_A_i_(5D)$'s are also Page charges.
Comments on Charges and Near-Horizon Data of Black Rings · 5D multi-black ring charges and harmonic functions from fragmentation · 1.00
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Compared to the 4D/5D map of [ref] for a single black object, the analogous one for multi-centers will turn out a bit more involved again due to the relentless cross-terms.
New Connections Between 4D and 5D Black Holes · Introduction · 0.93
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This generalises the spectral flow discussions of [ref] , [ref] to a multi-center setting.
Partition functions and elliptic genera from supergravity · Geometric interpretation using split-spectral flows · 1.00
Compares with 9 papers
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It is gratifying to note that they exactly compare with those coming from the integral of [ref] .
Comments on Charges and Near-Horizon Data of Black Rings · 5D multi-black ring charges and harmonic functions from fragmentation · 1.00
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In this way, eq.([ref]) is simply the ADM mass[ Even though [ref] , [ref] only refer to concentric rings, the above comparison is still meaningful because effects due to non-concentricity only start showing up for quantities involving the position vector $L⃗$, such as angular momentum, entropy, etc. ] of [ref] , [ref] .
General Concentric Black Rings · 5D multi-black ring charges and harmonic functions from fragmentation · 0.97
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In this way, eq.([ref]) is simply the ADM mass[ Even though [ref] , [ref] only refer to concentric rings, the above comparison is still meaningful because effects due to non-concentricity only start showing up for quantities involving the position vector $L⃗$, such as angular momentum, entropy, etc. ] of [ref] , [ref] .
Concentric Black Rings · 5D multi-black ring charges and harmonic functions from fragmentation · 0.97
Cites as background 14 papers
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The conceptual basis behind the idea of baby universes lies in the phenomenon of AdS fragmentation [ref] , [ref] , which was proposed as an instanton process wherein a single black hole, seen as an excitation in one vacuum configuration, tunnels to a multi-black hole state appearing as an excitation in another vacuum.
Splitting of an Extremal Reissner-Nordstr\"om Throat via Quantum Tunneling · A glance at 4D black hole fragmentation · 0.99
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The conceptual basis behind the idea of baby universes lies in the phenomenon of AdS fragmentation [ref] , [ref] , which was proposed as an instanton process wherein a single black hole, seen as an excitation in one vacuum configuration, tunnels to a multi-black hole state appearing as an excitation in another vacuum.
Anti-de Sitter Fragmentation · A glance at 4D black hole fragmentation · 0.99
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Starting from ( not very ) recent work in [ref] and [ref] , a considerable interest has been generated in understanding 5D BPS degeneracies by constructing dualities to the better understood 4D sector [ref] , [ref] , [ref] , [ref] .
Black Rings in Taub-NUT · Introduction · 0.98
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