Holographic Duals of Kaluza-Klein Black Holes

Abstract

We apply Brown-Henneaux's method to the 5D extremal rotating Kaluza-Klein black holes essentially following the calculation of the Kerr/CFT correspondence, which is not based on supersymmetry nor string theory. We find that there are two completely different Virasoro algebras that can be obtained as the asymptotic symmetry algebras according to appropriate boundary conditions. The microscopic entropies are calculated by using the Cardy formula for both boundary conditions and they perfectly agree with the Bekenstein-Hawking entropy. The rotating Kaluza-Klein black holes contain a 4D dyonic Reissner-Nordstrom black hole and Myers-Perry black hole. Since the D-brane configurations corresponding to these black holes are known, we expect that our analysis will shed some light on deeper understanding of chiral CFT2's dual to extremal black holes.

21 pages, LaTeX; v2: metadata corrected, v3: minor corrections, references added, v4: minor corrections (mainly on boundary conditions), v5: minor corrections, references added, published in JHEP

References in corpus (9)

• Near-horizon symmetries of extremal black holes
• Surface charge algebra in gauge theories and thermodynamic integrability
• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Holographic Description of AdS_2 Black Holes
• Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions
• The CFT-interpolating Black Hole in Three Dimensions
• Statistical Description of Rotating Kaluza-Klein Black Holes
• Counting the Microstates of a Kerr Black Hole

Cited by in corpus (13)

• CFT Duals for Extreme Black Holes
• Kerr-CFT and gravitational perturbations
• Central Charges in Extreme Black Hole/CFT Correspondence
• The Kerr/CFT Correspondence and String Theory
• Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
• Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
• Extremal Kerr black hole/CFT correspondence in the five dimensional Gödel universe
• Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes
• Emerging AdS from Extremally Rotating NS5-branes
• Extremal Isolated Horizon/CFT Correspondence
• Holographic RG flow dual to attractor flow in extremal black holes
• Conformal Symmetry for Rotating D-branes
• Holographic descriptions of (near-)extremal black holes in five dimensional minimal supergravity