CFT duals on extremal rotating NUT black hole

Abstract

We investigate the Kerr-Newman-NUT black hole solution obtained from Plebański-Demiański solutions with several assumptions. The origin of the microscopic entropy of this black hole is investigated using the conjectured Kerr/CFT correspondence which is originally proposed for extremal Kerr black holes. The isometry of the near-horizon extremal Kerr-Newman-NUT black hole shows that the asymptotic symmetry group may be implemented to compute the central charge of the Virasoro algebra. Furthermore, by assuming Frolov-Thorne vacuum, the conformal temperatures can be obtained. Then by using the Cardy formula, the microscopic entropy is gained which matches the Bekenstein-Hawking entropy. We also employ Cardy prescription to find the logarithmic correction of the entropy. Then at limit $a\to 0$, the extremal Reissner-Nordström-NUT solution is recovered and by enhancing with the fibered coordinate we find the five-dimensional (5D) solution. The second dual CFT is applied to this black hole to gain the entropy. Finally, the microscopic entropy is still in agreement with the area law of 5D black hole solution. Hence, the extremal Reissner-Nordström-NUT solution is holographically dual to the CFT.

20 pages

References in corpus (9)

• CFT Duals for Extreme Black Holes
• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• Holographic Duals of Kaluza-Klein Black Holes
• Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
• Radiation generated by accelerating and rotating charged black holes in (anti-)de Sitter space
• The Entropy for General Extremal Black Holes
• Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity
• Logarithmic corrections to black hole entropy from Kerr/CFT
• Logarithmic Corrections to the Black Hole Entropy Product of ${\mathcal{H}}^{\pm }$ via Cardy Formula

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• Enhanced Ehlers Transformation and the Majumdar-Papapetrou-NUT Spacetime
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence
• Magnetized Reissner-Nordstrom-Taub-NUT spacetime and microscopic entropy
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