Microstates of Four-Dimensional Rotating Black Holes from Near-Horizon Geometry

Finn Larsen; Mirjam Cvetic

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Microstates of Four-Dimensional Rotating Black Holes from Near-Horizon Geometry

Mirjam Cvetic, Finn Larsen

High Energy Physics - Theory · Submitted 21 May 1998

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

The authors' main claim Following the observation that the isometries on the AdS_3 space induce a two-dimensional (super)conformal field theory on the boundary, we reproduce the microscopic entropy with the correct dependence on the black hole angular momentum.

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arXiv IDhep-th/9805146 (version 1)

Pith IDOF4YVVWJ, Pith's permanent record of this paper and its review

CitationFinn Larsen, Mirjam Cvetic. "Microstates of Four-Dimensional Rotating Black Holes from Near-Horizon Geometry." arXiv:hep-th/9805146 (1998). https://pith.science/paper/OF4YVVWJ

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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,010 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.18 · compares with prior results 0.11 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We show that a class of four-dimensional rotating black holes allow five-dimensional embeddings as black rotating strings. Their near-horizon geometry factorizes locally as a product of the three-dimensional anti-deSitter space-time and a two-dimensional sphere (AdS_3 x S^2), with angular momentum encoded in the global space-time structure. Following the observation that the isometries on the AdS_3 space induce a two-dimensional (super)conformal field theory on the boundary, we reproduce the microscopic entropy with the correct dependence on the black hole angular momentum.

background contribution method result interpretation main claim

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	We show that a class of four-dimensional rotating black holes allow five-dimensional embeddings as black rotating strings.	result 0.73	0.92	0.44	asserted 1.00
s1	Their near-horizon geometry factorizes locally as a product of the three-dimensional anti-deSitter space-time and a two-dimensional sphere (AdS_3 x S^2), with angular momentum encoded in the global space-time structure.	result 0.93	0.72	0.13	asserted 1.00
s2	Following the observation that the isometries on the AdS_3 space induce a two-dimensional (super)conformal field theory on the boundary, we reproduce the microscopic entropy with the correct dependence on the black hole angular momentum.	result 0.88	0.92	0.68	asserted 1.00

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

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We show that a class of four-dimensional rotating black holes allow five-dimensional embeddings as black rotating strings. Their near-horizon geometry factorizes locally as a product of the three-dimensional anti-deSitter space-time and a two-dimensional sphere (AdS_3 x S^2), with angular momentum encoded in the global space-time structure. Following the observation that the isometries on the AdS_3 space induce a two-dimensional (super)conformal field theory on the boundary, we reproduce the microscopic entropy with the correct dependence on the black hole angular momentum.

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References

Forward citations

Cited by 6 Pith papers

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

The Kerr/CFT Correspondence
hep-th 2008-09 conditional novelty 8.0 of 10

Extreme Kerr black holes carry a near-horizon Virasoro symmetry with central charge c = 12J/hbar, and the Cardy formula reproduces their Bekenstein-Hawking entropy.
Supersymmetric AdS5 black holes
hep-th 2004-01 accept novelty 8.0 of 10

The paper presents the first supersymmetric asymptotically AdS5 black hole solutions, a one-parameter family in minimal five-dimensional gauged supergravity whose angular momentum cannot vanish.
Conformal Symmetry for Black Holes in Four Dimensions
hep-th 2011-12 conditional novelty 6.0 of 10

Reshaping the asymptotic geometry of general four-dimensional black holes yields a hidden two-dimensional conformal symmetry and a five-dimensional lift, giving evidence, not proof, that a 2D CFT accounts for their entropy.
Anti-de Sitter Fragmentation
hep-th 1998-12 conditional novelty 6.0 of 10

Extremal black hole near-horizon geometries admit tree-like and disconnected anti-de Sitter configurations, and non-supersymmetric anti-de Sitter spaces can decay through instanton-mediated fragmentation.
Noncommutativity and the Weak Cosmic Censorship
hep-th 2019-08 reject novelty 5.0 of 10

Using a noncommutative duality, the authors claim that a high-energy scalar probe dresses a naked AdS3 singularity as a BTZ black hole, supporting weak cosmic censorship.

Show 1 more citing papers

Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
gr-qc 2005-03 accept

Three-dimensional anti-de Sitter gravity acquires a two-dimensional conformal symmetry at its boundary, and the Cardy formula applied to that symmetry reproduces the BTZ black hole entropy, though the microscopic stat...

How the literature uses it

7 arXiv papers cite this in 8 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 · 5 sentences without a confident label

Uses its method or tool 1 paper

Following [ref] , the decoupling limit of our black string [ref]–[ref] is obtained by taking the five-dimensional Planck length to zero, $ℓ_p →0$, while keeping the following quantities fixed: $(i)$ We substitute the coordinate $r$ and the variables $m$ and $a$ as follows r →r̃ ℓ_p^3 R^2, m →m̃ ℓ_p^3 R^2, a →ã ℓ_p^3 R^2 and keep $r̃$, $ã$ and $m̃$ finite as $ℓ_p →0$.

A General Black String and its Microscopics · Decoupling limit · 0.92

Cites it as background 2 papers

Previous work on a dual description of Kerr, some in the context of string theory, includes [ref] .

The Kerr/CFT Correspondence · Introduction · 0.97
First, it may be noted that a large class of string theories contain a BTZ factor in the near-horizon geometry [ref] .

Noncommutativity and the Weak Cosmic Censorship · Final remarks · 0.96

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