CFT Duals for Attractor Horizons

Dumitru Astefanesei; Yogesh K. Srivastava

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CFT Duals for Attractor Horizons

Dumitru Astefanesei, Yogesh K. Srivastava

High Energy Physics - Theory · Submitted 23 Feb 2009

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

The authors' main claim In this way we obtain the microscopic entropy of Gutowski-Reall black hole.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.68 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

In this paper we generalize the results of [1] to 5-dimensional Anti-de Sitter gravity theories with neutral scalars non-minimally coupled to gauge fields. Due to the attractor mechanism, the near horizon geometry of extremal black holes is universal and is determined by only the charge parameters. In particular, we study a class of near horizon geometries that contain an $AdS_2\times S^2$ factor after Kaluza-Klein reduction. In this way we obtain the microscopic entropy of Gutowski-Reall black hole. We also point out a possible connection with the $AdS_2/CFT_1$ correspondence.

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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	In this paper we generalize the results of [1] to 5-dimensional Anti-de Sitter gravity theories with neutral scalars non-minimally coupled to gauge fields.	contribution 1.00	0.90	0.09	asserted 0.98
s1	Due to the attractor mechanism, the near horizon geometry of extremal black holes is universal and is determined by only the charge parameters.	background 1.00	0.07	0.08	asserted 1.00
s2	In particular, we study a class of near horizon geometries that contain an $AdS_2\times S^2$ factor after Kaluza-Klein reduction.	contribution 0.88	0.84	0.07	asserted 0.99
s3	In this way we obtain the microscopic entropy of Gutowski-Reall black hole.	result 0.98	0.91	0.45	asserted 1.00
s4	We also point out a possible connection with the $AdS_2/CFT_1$ correspondence.	interpretation 0.94	0.72	0.11	hedged possibility 0.98

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

In this paper we generalize the results of [1] to 5-dimensional Anti-de Sitter gravity theories with neutral scalars non-minimally coupled to gauge fields. Due to the attractor mechanism, the near horizon geometry of extremal black holes is universal and is determined by only the charge parameters. In particular, we study a class of near horizon geometries that contain an $AdS_2\times S^2$ factor after Kaluza-Klein reduction. In this way we obtain the microscopic entropy of Gutowski-Reall black hole. We also point out a possible connection with the $AdS_2/CFT_1$ correspondence.

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References

Forward citations

Cited by 5 Pith papers

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

Microscopic Realization of the Kerr/CFT Correspondence
hep-th 2010-09 accept novelty 7.0 of 10

At maximal charge, the extreme five-dimensional Kerr-Newman black hole's near-horizon geometry equals the zero-temperature limit of a magnetic black string, identifying its dual CFT as the known P^3 CFT with central c...
Kerr/CFT, dipole theories and nonrelativistic CFTs
hep-th 2011-08 conditional novelty 6.0 of 10

A class of warped AdS3 supergravity backgrounds is identified as a deformation of the DLCQ of the D1-D5 CFT by a single (1,2) operator, proposing nonrelativistic CFT duals for Kerr/CFT and dipole backgrounds.
Higher-Derivative Corrections to the Asymptotic Virasoro Symmetry of 4d Extremal Black Holes
hep-th 2009-03 conditional novelty 6.0 of 10

For four-dimensional extremal black holes in gravity with higher-derivative corrections, the asymptotic Virasoro central charge computed with the invariant symplectic structure reproduces the Iyer-Wald entropy exactly...
Monodromy, Hidden Conformal Symmetry and Entropy Product Formula For Kerr-MOG Black Hole
hep-th 2026-07 conditional novelty 4.0 of 10

Kerr-MOG black holes are claimed to admit a 2D CFT dual with temperatures TL and TR and central charge 12J, reproducing the Bekenstein-Hawking entropy and scalar absorption cross section.
Cargese Lectures on the Kerr/CFT Correspondence
hep-th 2011-03 accept novelty 2.0 of 10

Extreme Kerr black holes carry an asymptotic Virasoro symmetry with central charge 12J, and the Cardy formula then reproduces their Bekenstein-Hawking entropy exactly.

How the literature uses it

18 arXiv papers cite this in 21 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 · 10 sentences without a confident label

Uses its method or tool 2 papers

We work in a suitable coordinate system, where the $AdS_2$ part of the near horizon geometry is manifest [ref] .

The fate of flat directions in higher derivative gravity · Flat direction in five dimensional theory · 0.90
We use the coordinates that make the $AdS_2$ part of the near horizon geometry manifest [ref] :

Near horizon data and physical charges of extremal AdS black holes · Susy spinning AdS black holes · 0.96

Compares with it 1 paper

We would like to emphasize that our analysis is built on the previous (but less general) work on asymptotically flat and AdS extremal black holes [ref] .

Near horizon data and physical charges of extremal AdS black holes · Introduction · 0.94

Cites it as background 7 papers

The fact that quantum gravity may be dual to a $CFT$ [ref] has spawned a surge, led by Strominger [ref] , Carlip [ref] and Park [ref] , in applying $CFT$ techniques to compute Bekenstein-Hawking Entropy of various black holes [ref] .

Near-Extremal Kerr AdS2xS2 Solution and Black-Hole/Near-Horizion-CFT Duality · Holographic Black Hole Entropy · 0.98
The first example is that of the Kerr/CFT correspondence [ref] and its generalizations [ref] .

Kerr/CFT, dipole theories and nonrelativistic CFTs · Introduction · 0.94
So far, the correspondence has been extended to charged and rotating black holes in AdS in various dimensions [ref] , five-dimensional (5d) KK black holes [ref] , and various types of black holes in extended gravity theories and string theory [ref] .

All 4-dimensional static, spherically symmetric, 2-charge abelian Kaluza-Klein black holes and their CFT duals · Introduction and Summary · 0.96

What it cites · 47 sentences without a confident label

Builds on 2 papers

Due to the enhanced symmetry of the near horizon geometry, the attractor mechanism [ref] can be extended to general extremal spinning black holes [ref] .

Rotating Attractors · Introduction · 0.80
Due to the enhanced symmetry of the near horizon geometry, the attractor mechanism [ref] can be extended to general extremal spinning black holes [ref] .

N=2 Extremal Black Holes · Introduction · 0.80

Uses the method or tool of 9 papers

To study the attractor mechanism of these solutions we use the entropy function formalism of [ref] .[Entropy function formalism was applied to black holes in AdS space in [ref] .] However, the existence of a Chern-Simons term in the action is problematic — the entropy function method relies on gauge as well as diffeomorphism invariance of the Lagrangian density.

Rotating Attractors · Attractor mechanism · 0.85
To study the attractor mechanism of these solutions we use the entropy function formalism of [ref] .[Entropy function formalism was applied to black holes in AdS space in [ref] .] However, the existence of a Chern-Simons term in the action is problematic — the entropy function method relies on gauge as well as diffeomorphism invariance of the Lagrangian density.

Entropy function and attractors for AdS black holes · Attractor mechanism · 0.85
We use the entropy function formalism [ref] to explicitly show that the entropy is independent of the asymptotic values of the scalars.

Black Hole Entropy Function, Attractors and Precision Counting of Microstates · Introduction · 1.00

Uses data or values from 1 paper

In the $AdS_2/CFT_1$ duality, the central charge is given by [ref]

Holographic Description of AdS_2 Black Holes · The relation with $AdS_2/CFT_1$ · 0.86

Compares with 3 papers

The analysis in [ref] is similar with the one proposed by Brown and Henneaux for $AdS_3$ [ref] .

The Kerr/CFT Correspondence · Introduction · 0.99
In $AdS_2$ case, one needs to twist the energy momentum tensor by a certain $U(1)$ gauge transformation while in the Kerr/CFT correspondence one needs to take some of the components of the perturbation metric to be of the same order as the background.[We believe that, in fact, in the analysis of [ref] these considerations should also be taken in account.]

Holographic Description of AdS_2 Black Holes · The relation with $AdS_2/CFT_1$ · 0.80
In this section, we try to see if there is a relationship between central charges calculated using Kerr/CFT correspondence and central charges appearing in recent attempts [ref] to find the central charge in $AdS_2$ by applying a Brown-Henneaux procedure.

Central Charge for AdS_2 Quantum Gravity · The relation with $AdS_2/CFT_1$ · 0.93

Cites as background 6 papers

In AdS space [ref] , Gutowski and Reall found an interesting solution that is asymptotically AdS and does not have an $AdS_3$ component in the near-horizon geometry.

Supersymmetric AdS5 black holes · Generalities · 0.86
Recently, the Kerr/CFT correspondence [ref] has been used extensively to understand the statistical entropy of stationary extremal black holes.

The Kerr/CFT Correspondence · Introduction · 0.90
In flat space [ref] , the geometry of the event horizon of any supersymmetric black hole of minimal $5$-dimensional supergravity must be $T^3$, $S^1 ×S^2$, or a quotient of a homogeneously squashed $S^3$.

Higher dimensional black holes and supersymmetry · Generalities · 0.80

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