Adding new hair to the 3-charge black ring

Rodolfo Russo; Stefano Giusto

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Adding new hair to the 3-charge black ring

Stefano Giusto, Rodolfo Russo

High Energy Physics - Theory · Submitted 12 Jan 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In particular we point out the existence of a black ring that has an extra dipole charge with respect to the solutions of the STU-model.

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What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.16 · compares with prior results 0.87 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

Motivated by the string theory analysis of arXiv:1108.6331, we construct a class of 1/8-BPS solutions of type IIB supergravity compactified on S^1 x T^4. In this duality frame our ansatz allows for a non-trivial NS-NS B-field which has been usually set to zero in previous studies of 1/8-BPS geometries. We provide a M-theory description of these new geometries and show that they can be interpreted as the lift of solutions of the N=2 5D supergravity with three vector multiplets and whose scalar manifold is the symmetric space SO(1,1) x (SO(1,2)/SO(2)). Finally we show that the non-minimal 5D black rings provide an explicit example of solutions falling in this ansatz. In particular we point out the existence of a black ring that has an extra dipole charge with respect to the solutions of the STU-model. In the near-horizon limit, this ring has an AdS_3 x S^3 geometry with the same radius as the one of the 3-charge black hole and thus its microstates should belong to the usual D1-D5 CFT.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Motivated by the string theory analysis of arXiv:1108.6331, we construct a class of 1/8-BPS solutions of type IIB supergravity compactified on S^1 x T^4.	contribution 0.98	0.94	0.08	asserted 1.00
s1	In this duality frame our ansatz allows for a non-trivial NS-NS B-field which has been usually set to zero in previous studies of 1/8-BPS geometries.	contribution 0.53	0.47	0.07	asserted 0.99
s2	We provide a M-theory description of these new geometries and show that they can be interpreted as the lift of solutions of the N=2 5D supergravity with three vector multiplets and whose scalar manifold is the symmetric space SO(1,1) x (SO(1,2)/SO(2)).	interpretation 0.47	0.93	0.17	asserted 1.00
s3	Finally we show that the non-minimal 5D black rings provide an explicit example of solutions falling in this ansatz.	result 0.68	0.94	0.25	asserted 1.00
s4	In particular we point out the existence of a black ring that has an extra dipole charge with respect to the solutions of the STU-model.	result 0.91	0.91	0.30	asserted 0.97
s5	In the near-horizon limit, this ring has an AdS_3 x S^3 geometry with the same radius as the one of the 3-charge black hole and thus its microstates should belong to the usual D1-D5 CFT.	interpretation 0.88	0.88	0.21	asserted 0.45

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original abstract

Motivated by the string theory analysis of arXiv:1108.6331, we construct a class of 1/8-BPS solutions of type IIB supergravity compactified on S^1 x T^4. In this duality frame our ansatz allows for a non-trivial NS-NS B-field which has been usually set to zero in previous studies of 1/8-BPS geometries. We provide a M-theory description of these new geometries and show that they can be interpreted as the lift of solutions of the N=2 5D supergravity with three vector multiplets and whose scalar manifold is the symmetric space SO(1,1) x (SO(1,2)/SO(2)). Finally we show that the non-minimal 5D black rings provide an explicit example of solutions falling in this ansatz. In particular we point out the existence of a black ring that has an extra dipole charge with respect to the solutions of the STU-model. In the near-horizon limit, this ring has an AdS_3 x S^3 geometry with the same radius as the one of the 3-charge black hole and thus its microstates should belong to the usual D1-D5 CFT.

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References

Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Holomorphic Waves of Black Hole Microstructure
hep-th 2019-10 conditional novelty 7.0 of 10

The authors construct the largest families to date of smooth horizonless 1/8-BPS supergravity solutions, each based on an arbitrary holomorphic function of one variable, and reformulate the BPS equations in holomorphic form.
AdS$_2$ Holography: Mind the Cap
hep-th 2018-06 conditional novelty 7.0 of 10

Explicit asymptotically AdS2 supergravity solutions with smooth infrared caps support infinite towers of normalizable bound-state scalar excitations, suggesting the dual CFT1 is dynamical.
Habemus Superstratum! A constructive proof of the existence of superstrata
hep-th 2015-03 conditional novelty 7.0 of 10

A first explicit smooth superstratum solution in six-dimensional supergravity, parameterized by a function of two variables and carrying D1-D5-P charges, is constructed and given a CFT interpretation.
Lost in Translation: Moduli Stabilization from EFT to Eleven Dimensions
hep-th 2026-06 unverdicted novelty 6.0 of 10

Explicit 11D solutions show flux stabilization of T^4/Z2 moduli in EFT does not match the full theory, with non-Lorentz-invariant deformations stabilizing a mix of volume and shape moduli instead.
Superstratum Symbiosis
hep-th 2019-03 conditional novelty 6.0 of 10

Supercharged superstrata resolve the coiffuring obstruction that previously restricted multi-mode superstrata to two-dimensional subspaces, enabling smooth duals of generic CFT superstratum states.

Show 3 more citing papers

Momentum Fractionation on Superstrata
hep-th 2016-01 accept novelty 6.0 of 10

Explicit horizonless supergravity solutions are built whose dual CFT states carry momentum in fractionally moded oscillators, the first asymptotically flat examples of this kind.
6D microstate geometries from 10D structures
hep-th 2013-06 conditional novelty 6.0 of 10

A general null-Killing-vector formalism yields the BPS equations for D1-D5-P microstates and an explicit nonlinear, circle-dependent solution claimed to be regular and asymptotically flat.
Superstrata
hep-th 2020-02 accept novelty 2.0 of 10

Superstrata are reviewed as the most general D1-D5-P microstate geometries with identified CFT duals, built by solving the BPS equations in three linear layers and completed nonlinearly by coiffuring.

How the literature uses it

17 arXiv papers cite this in 46 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 33 sentences without a confident label

Builds on it 3 papers

Using the M-theory framework we have obtained microstate geometries corresponding to the black rings presented in [ref] .

Bubbling the Newly Grown Black Ring Hair · Concluding Remarks · 0.92
In Section [ref] we generalize the ansatz discussed in [ref] so as to adapt it to the $v$-dependent case we are interested in.

Perturbative superstrata · Introduction · 0.98
This is a very modest generalization of the class of theories considered in [ref] .

On the Oscillation of Species · Adding species on the $T^4$ · 0.95

Uses its method or tool 2 papers

We will formulate species oscillation in five-dimensions using a $T^6$ compactification of M-theory that is essentially described in [ref] .

On the Oscillation of Species · Introduction · 0.92
The ansatz we take is as follows [ref] .

AdS$_2$ Holography: Mind the Cap · BPS solutions and throat geometries in 5D · 0.80

Compares with it 1 paper

When the metric and the gauge fields are taken to be independent of $v$, the solution reduces to the one of [ref] and it can be reduced to $𝒩=2$ 5D supergravity coupled to three vector multiplets.

6D microstate geometries from 10D structures · Minimal set of equations for our ansatz · 0.86

Cites it as background 6 papers

This last step generically involves solving non-linear equations and, to date, the only known non-trivial solutions come from freezing fluctuations of the KKM configuration[There have been some interesting recent attempts to use string amplitude calculations to determine at least the perturbative form of generic fluctuating KKM's [ref] .], which reduces the problem to a linear system.

Doubly-Fluctuating BPS Solutions in Six Dimensions · Introduction · 0.89
There has been a long history of constructing supergravity solutions corresponding to D1-D5-P microstates, see [ref] .

One point functions for black hole microstates · Introduction · 0.98
We will review the $= 1$, five-dimensional supergravity coupled to four $U(1)$ gauge fields [ref] .

AdS$_2$ Holography: Mind the Cap · Five-dimensional U(1)$^4$ supergravity · 0.98

What it cites · 26 sentences without a confident label

Builds on 2 papers

In this paper, we show that the asymptotic solution of [ref] is an example of a class of classical configurations which solve the full non-linear equations of supergravity, i.e. the supersymmetry variations with four independent parameters and the equations of motion.

New D1-D5-P geometries from string amplitudes · Introduction · 0.84
We focus on the case $n=3$, which has one more charge and dipole with the respect to the original black ring of the STU-model [ref] .

A supersymmetric black ring · Introduction · 0.85

Uses the method or tool of 3 papers

With the standard 5D-4D map [ref] , we can use the isometry along $τ$ and reduce the black ring solution [ref] to a four dimensional black hole.

New Connections Between 4D and 5D Black Holes · A black ring solution · 0.93
So we can follow [ref] and list the $N=2$ vector multiplets obtained by reducing the 11D ansatz on $T^6$ down to 5D.

11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds · M-theory lift and $N=2$ truncation · 0.80
We use the same supersymmetry conventions as in appendix A of [ref] .

New D1-D5-P geometries from string amplitudes · IIB · 0.83

Compares with 2 papers

The ansatz we find is more general than the one that was previously used to describe three-charge bound state geometries [ref] and that, when reduced to 5D, is equivalent to the STU model (i.e. $𝒩=2$ 5D supergravity with two vector multiplets).

One Ring to Rule Them All ... and in the Darkness Bind Them? · Discussion and open problems · 0.84
[equation] which should play the same role as the ratio $H̃_1/H_1$ in the $1/4$-BPS solution of [ref] .

Fuzzballs with internal excitations · A new $1/8$-BPS ansatz in type IIB supergravity · 0.87

Cites as background 5 papers

Let us start by recalling the type IIB supergravity solutions belonging to the class discussed in [ref] .

One Ring to Rule Them All ... and in the Darkness Bind Them? · A new $1/8$-BPS ansatz in type IIB supergravity · 0.87
A consistent amount of work [ref] has been devoted to identifying the subset of states of the D1-D5 CFT that correspond to the STU model black rings, but a completely satisfactory understanding of this problem is still lacking.

Microscopic Description of Black Rings in AdS/CFT · Discussion and open problems · 0.81
A consistent amount of work [ref] has been devoted to identifying the subset of states of the D1-D5 CFT that correspond to the STU model black rings, but a completely satisfactory understanding of this problem is still lacking.

A Note on D1-D5-J System and 5D Small Black Ring · Discussion and open problems · 0.81

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