New Near Horizon Limit in Kerr/CFT

Abstract

The extremal Kerr black hole with the angular momentum J is conjectured to be dual to CFT with central charges c_L=c_R=12J. However, the central charge in the right sector remains to be explicitly derived so far. In order to investigate this issue, we introduce new near horizon limits of (near) extremal Kerr and five-dimensional Myers-Perry black holes. We obtain Virasoro algebras as asymptotic symmetries and calculate the central charges associated with them. One of them is equivalent to that of the previous studies, and the other is non-zero, but still the order of near extremal parameter. Redefining the algebras to take the standard form, we obtain a finite value as expected by the Kerr/CFT correspondence.

25 pages, minor changes, references added

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Cited by in corpus (19)

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• Near Horizon Limits of Massless BTZ and Their CFT Duals
• Extremal Black Holes in Dynamical Chern-Simons Gravity
• Two Virasoro symmetries in stringy warped AdS${}_3$
• Emergent IR dual 2d CFTs in charged AdS5 black holes
• Novel CFT Duals for Extreme Black Holes
• Extremal black holes, Holography & Coarse graining
• Dual 2d CFT Identification of Extremal Black Rings from Holes
• On Non-Chiral Extension of Kerr/CFT
• Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions
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• Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes
• Comments on AdS_2 Gravity
• R**2 correction to BMPV black hole entropy from Kerr/CFT correspondence
• Nonextremal Kerr/CFT on a stretched horizon
• Boundary Conditions for NHEK through Effective Action Approach
• Accidental Symmetry Near Extreme Spinning Black Holes
• Extremal RN/CFT in Both Hands Revisited
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity