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Holographic duals of Kaluza-Klein black holes

2008/11/30 by Tatsuo Azeyanagi, Noriaki Ogawa, S. TERASHIMA +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black hole thermodynamics #Black string #Cosmology and Gravitation Theories #Dual polyhedron #Entropy (arrow of time) #Extremal black hole #Geometry #Kaluza–Klein theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Rotating black hole #String theory #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/04/061

published as JHEP 0904:061,2009 · 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

openalex publication_date 2009/04/16 · arxiv created 2009/04/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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