Three Charge Supertubes and Black Hole Hair

Iosif Bena; Per Kraus

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Three Charge Supertubes and Black Hole Hair

Iosif Bena, Per Kraus

High Energy Physics - Theory · Submitted 19 Feb 2004

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

The authors' main claim We study the relation of the tubes to the spinning BMPV black hole, and find that they have properties consistent with describing some of the hair of this black hole.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.24 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.37 · mentions code or data availability 0.01.

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We construct finite size, supersymmetric, tubular D-brane configurations with three charges, two angular momenta and several brane dipole moments. In type IIA string theory these are tubular configurations with D0, D4 and F1 charge, as well as D2, D6 and NS5 dipole moments. These multi-charge generalizations of supertubes might have interesting consequences for the physics of the D1-D5-P black hole. We study the relation of the tubes to the spinning BMPV black hole, and find that they have properties consistent with describing some of the hair of this black hole.

background contribution method result interpretation main claim

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We construct finite size, supersymmetric, tubular D-brane configurations with three charges, two angular momenta and several brane dipole moments.	contribution 1.00	0.96	0.11	asserted 1.00
s1	In type IIA string theory these are tubular configurations with D0, D4 and F1 charge, as well as D2, D6 and NS5 dipole moments.	contribution 0.93	0.46	0.04	asserted 1.00
s2	These multi-charge generalizations of supertubes might have interesting consequences for the physics of the D1-D5-P black hole.	interpretation 0.90	0.12	0.09	speculative 0.94
s3	We study the relation of the tubes to the spinning BMPV black hole, and find that they have properties consistent with describing some of the hair of this black hole.	result 0.83	0.96	0.81	hedged possibility 0.67

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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The paper

Original abstract

We construct finite size, supersymmetric, tubular D-brane configurations with three charges, two angular momenta and several brane dipole moments. In type IIA string theory these are tubular configurations with D0, D4 and F1 charge, as well as D2, D6 and NS5 dipole moments. These multi-charge generalizations of supertubes might have interesting consequences for the physics of the D1-D5-P black hole. We study the relation of the tubes to the spinning BMPV black hole, and find that they have properties consistent with describing some of the hair of this black hole.

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References

Forward citations

Cited by 24 Pith papers

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

An Infinite-Dimensional Family of Black-Hole Microstate Geometries
hep-th 2010-06 conditional novelty 8.0 of 10

An explicit infinite-dimensional family of smooth horizonless black-hole microstate geometries is constructed by back-reacting a supertube with varying charge density in an ambipolar Gibbons-Hawking background.
Plumbing the Abyss: Black Ring Microstates
hep-th 2007-06 conditional novelty 8.0 of 10

Smooth horizonless geometries carrying the charges, dipole charges, and angular momenta of a macroscopic BPS black ring are constructed, with a throat depth tunable by a geometric modulus.
A supersymmetric black ring
hep-th 2004-07 accept novelty 8.0 of 10

An exact five-dimensional supergravity solution is constructed whose event horizon has S1 x S2 topology, the first asymptotically flat supersymmetric black hole that is not spherical.
Double, Double Supertube Bubble
hep-th 2011-07 conditional novelty 7.0 of 10

A local supersymmetry argument indicates that three-charge D1-D5-P bound states can be double bubbled into smooth 1/8-BPS configurations whose shape is set by arbitrary functions of two variables.
Mergers and Typical Black Hole Microstates
hep-th 2006-08 conditional novelty 7.0 of 10

Merging a bubbled black ring into a bubbled black hole produces the first smooth horizonless microstate geometries with the charges of a BPS black hole of classically large horizon area, with a throat that becomes inf...

Show 19 more citing papers

The Foaming Three-Charge Black Hole
hep-th 2006-04 conditional novelty 7.0 of 10

A large family of multi-center bubbling geometries is shown to reproduce the charges and maximal angular momentum of the BMPV black hole, with entropy estimates from flux partitions.
Bubbling Supertubes and Foaming Black Holes
hep-th 2005-05 accept novelty 7.0 of 10

A geometric transition replaces the singular zero-entropy black ring with a smooth, brane-free geometry whose fluxes thread new two-cycles, giving explicit black-hole microstate candidates.
Non-supersymmetric smooth geometries and D1-D5-P bound states
hep-th 2005-04 conditional novelty 7.0 of 10

Smooth non-supersymmetric D1-D5-P solitons exist, form a two-integer family, and their conserved charges reproduce those of spectral-flowed CFT states.
One Ring to Rule Them All ... and in the Darkness Bind Them?
hep-th 2004-08 conditional novelty 7.0 of 10

All eleven-dimensional three-charge BPS solutions preserving a fixed set of supersymmetries are generated by a linear three-step procedure, yielding black rings and supertubes of arbitrary profile.
Dual geometries for a set of 3-charge microstates
hep-th 2004-05 accept novelty 7.0 of 10

Exact extremal D1-D5-P geometries dual to spectral-flowed CFT microstates are smooth, with no horizon and no singularity.
Cosmic Topological Defects from Holography
hep-th 2024-11 conditional novelty 6.0 of 10

Using the Witten-Sakai-Sugimoto holographic model, the authors describe axionic cosmic string loops and domain walls as D6-brane embeddings, find a first-order transition between them, and show that large-baryon-charg...
Tunneling into fuzzball states
hep-th 2008-05 conditional novelty 6.0 of 10

The paper conjectures that a collapsing shell can tunnel into one of the e^{S_Bek} fuzzball microstates quickly enough to avoid information loss, because the tunneling suppression and the entropy are both of order GM^2.
Holographic anatomy of fuzzballs
hep-th 2006-11 accept novelty 6.0 of 10

A closed curve on R^4 defining a two-charge fuzzball maps to a specific superposition of D1-D5 R ground states, and the holographic one-point functions extracted from the geometry match the superposition's kinematical...
General Concentric Black Rings
hep-th 2004-08 accept novelty 6.0 of 10

Explicit supersymmetric black ring solutions of five-dimensional supergravity coupled to an arbitrary number of vector multiplets are constructed, including concentric multi-ring configurations with regular S1 x S2 ho...
3-charge geometries and their CFT duals
hep-th 2004-06 conditional novelty 5.0 of 10

Two families of D1-D5-P microstate geometries are constructed and shown to cap off smoothly, with their CFT duals identified via travel-time and absorption-threshold matching.
Fuzzballs and the information paradox: a summary and conjectures
hep-th 2008-10 conditional novelty 4.0 of 10

Constructed black hole microstates in string theory are horizon-sized fuzzballs with no information-free horizon, which the author argues resolves the information paradox, plus new conjectures on collapse dynamics.
Modave Lectures on Fuzzballs and Emission from the D1-D5 System
hep-th 2010-01 accept novelty 3.0 of 10

Hawking radiation, superradiance, and ergoregion emission from D1-D5 black holes and fuzzballs are shown to be one CFT process acting on different states.
Black Holes as Effective Geometries
hep-th 2008-11 conditional novelty 3.0 of 10

Supersymmetric black holes can be viewed as effective coarse-grained geometries built from horizon-free microstates, but the finite-area case rests on heuristic quantization arguments.
The fuzzball proposal for black holes
hep-th 2008-04 accept novelty 3.0 of 10

Explicit two-charge fuzzball geometries and holographic vev matches support the proposal that black hole microstates are horizon-free, but a complete stringy definition remains open.
Black Holes, Black Rings and their Microstates
hep-th 2007-01 conditional novelty 3.0 of 10

Smooth horizonless three-charge geometries with black-hole and black-ring charges exist in large numbers, and heuristic mass-gap matching suggests many are dual to CFT states in the same sector as typical black-hole m...
Black Rings
hep-th 2006-08 accept novelty 3.0 of 10

Five-dimensional black holes can have ring-shaped horizons, and this review organizes their geometry, conserved charges, dipole charges, and proposed microscopic descriptions.
Fuzzballs and Microstate Geometries: Black-Hole Structure in String Theory
hep-th 2022-04 conditional novelty 2.0 of 10

String theory replaces black holes with horizonless fuzzballs, and this, the authors argue, resolves the black-hole information paradox.
Snowmass White Paper: Micro- and Macro-Structure of Black Holes
hep-th 2022-03 conditional novelty 2.0 of 10

String theory's fuzzball and microstate geometry programs recast black holes as horizonless, singularity-free objects, and this white paper argues that this is the most promising route to the information paradox.
The fuzzball proposal for black holes: an elementary review
hep-th 2005-02 conditional novelty 2.0 of 10

String theory's two-charge black hole microstates are smooth, horizonless fuzzballs whose boundary area matches the microscopic entropy, suggesting black holes lack conventional horizons.

How the literature uses it

19 arXiv papers cite this in 45 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 · 35 sentences without a confident label

Builds on it 1 paper

One can generalize the foregoing discussion of mergers to examine a three-charge, two dipole charge supertube [ref] merging with a generic black ring.

Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity · Black rings and three-charge two-dipole-charge supertubes · 0.99

Compares with it 2 papers

This conclusion is similar to that of [ref] for supertube-black hole mergers.

Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity · Mergers of black rings with two-charge supertubes · 1.00
This compares to the standard solutions of [ref] , [ref] , [ref] , [ref] , [ref] when expressed in more convenient coordinates - but we will not require that here.

Entropy Functions with 5D Chern-Simons terms · Switching roles of e(0) - p(0) as a form of black ring - black hole interpolation · 0.99

Cites it as support 1 paper

Obviously, the state-space geometric description will naturally break down at the Planck scale, but the picture is expected to remain rather interesting, and still it is certainly supported by the fact that large bubbles [ref] are needed to resolve singularities persisting in the macroscopic black brane configurations.

Black Strings, Black Rings and State-space Manifold · (v) Physics at the Planck Scale · 0.98

Cites it as background 4 papers

The $(0,4)$ conformal field theory on the $AdS_3$ boundary describes M5-branes wrapped on 4-cycles in $X_6$ [ref] (the same conformal field theory also describes black rings [ref] .) To define the elliptic genus we introduce potentials for the charges $q^I, q^I$; the R-charge is $q^0$ (for details, see [ref] ).

Quantum Corrections to Bekenstein-Hawking Black Hole Entropy and Gravity Partition Functions · Partition functions from supergravity · 0.85
Truthfully, Mathur's proposal has motivated a number of interesting studies for the $D_1$-$D_5$ systems and supertubes [ref] .

Black Strings, Black Rings and State-space Manifold · Introduction · 0.80
Now, it is very well known, in the context of supersymmetric D2-brane supertube solutions in flat spacetime [ref] that the angular momentum induced by the electromagnetic field on the D6-brane can compete with its tension and stabilize it.

Cosmic Topological Defects from Holography · Vortons · 0.82

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