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

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.

15 pages, latex

References in corpus (1)

• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes

Cited by in corpus (6)

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• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
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• Statistical Mechanics of Exponentially Many Low Lying States
• Classical Unattainability of Extremality in non-BPS D-brane Systems
• An extremal black hole with a unique ground state