Sigma model of near-extreme rotating black holes and their microstates

A.A. Tseytlin; M. Cvetic

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Sigma model of near-extreme rotating black holes and their microstates

M. Cvetic, A.A. Tseytlin

High Energy Physics - Theory · Submitted 17 Jun 1998

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

The authors' main claim Their statistical entropy reproduces precisely the Bekenstein-Hawking entropy of the rotating black hole.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.45 · compares with prior results 0.17 · mentions code or data availability 0.01.

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Five-dimensional non-extreme rotating black holes with large NS-NS five-brane and fundamental string charge are shown to be described by a conformal sigma model, which is a marginal integrable deformation of six-dimensional SL(2,R) x SU(2) WZW model. The two WZW levels are equal to the five-brane charge, while the parameters of the two marginal deformations generated by the left and right chiral SU(2) currents are proportional to the two angular momentum components of the black hole. The near-horizon description is effectively in terms of a free fundamental string whose tension is rescaled by the five-brane charge. The microstates are identified with those of left and right moving superconformal string oscillations in the four directions transverse to the five-brane. Their statistical entropy reproduces precisely the Bekenstein-Hawking entropy of the rotating black hole.

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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	Five-dimensional non-extreme rotating black holes with large NS-NS five-brane and fundamental string charge are shown to be described by a conformal sigma model, which is a marginal integrable deformation of six-dimensional SL(2,R) x SU(2) WZW model.	contribution 0.56	0.86	0.48	asserted 1.00
s1	The two WZW levels are equal to the five-brane charge, while the parameters of the two marginal deformations generated by the left and right chiral SU(2) currents are proportional to the two angular momentum components of the black hole.	result 0.72	0.80	0.12	asserted 1.00
s2	The near-horizon description is effectively in terms of a free fundamental string whose tension is rescaled by the five-brane charge.	result 0.63	0.78	0.11	asserted 0.98
s3	The microstates are identified with those of left and right moving superconformal string oscillations in the four directions transverse to the five-brane.	interpretation 0.53	0.78	0.16	asserted 1.00
s4	Their statistical entropy reproduces precisely the Bekenstein-Hawking entropy of the rotating black hole.	result 1.00	0.84	0.67	asserted 1.00

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

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arXiv listing abstract v1

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full text
figures and tables
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P abstract

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S sections
T body sentences
C citations
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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

Five-dimensional non-extreme rotating black holes with large NS-NS five-brane and fundamental string charge are shown to be described by a conformal sigma model, which is a marginal integrable deformation of six-dimensional SL(2,R) x SU(2) WZW model. The two WZW levels are equal to the five-brane charge, while the parameters of the two marginal deformations generated by the left and right chiral SU(2) currents are proportional to the two angular momentum components of the black hole. The near-horizon description is effectively in terms of a free fundamental string whose tension is rescaled by the five-brane charge. The microstates are identified with those of left and right moving superconformal string oscillations in the four directions transverse to the five-brane. Their statistical entropy reproduces precisely the Bekenstein-Hawking entropy of the rotating black hole.

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References

Forward citations

Cited by 2 Pith papers

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

Classical Unattainability of Extremality in non-BPS D-brane Systems
hep-th 2026-01 conditional novelty 6.0 of 10

For a non-BPS four-charge D-brane system in N=8 string theory, the worldline potential has no classical zero-energy minimum, so extremality is unattainable; entropy is proposed as the logarithm of the number of isolat...
An extremal black hole with a unique ground state
hep-th 2024-11 unverdicted novelty 6.0 of 10

Microscopic D-brane description of non-supersymmetric extremal black holes yields a unique ground state with non-zero energy, confirming absence of degeneracy.

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3 arXiv papers cite this in 5 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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 2 papers

The asymptotic geometry is exploited to count the microstates and recover the precise value of the Bekenstein- Hawking entropy, with rotation taken properly into account.

Near Horizon Geometry of Rotating Black Holes in Five Dimensions · 0.85
We present two complementary approaches which both utilize the near-horizon geometry and precisely reproduce the Bekenstein Hawking entropy for near-extreme rotating black holes in D=4 and D=5.

Microscopics of Rotating Black Holes: Entropy and Greybody Factors · 0.84

Papers citing it · 4 sentences without a confident label

Cites it as background 1 paper

Microscopic explanation of the entropy of non-extremal black holes has received a fair degree of attention [ref] .

Statistical Mechanics of Exponentially Many Low Lying States · Introduction · 1.00

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