Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions

Abstract

We study the hidden conformal symmetry of four-dimensional extremal Kaluza-Klein black hole. The scalar Laplacian corresponding to the radial equation in the near-region is rewritten in terms of the $SL(2,\mathbb{R})$ quadratic Casimir. Using the first law of black hole thermodynamics, this symmetry enables us to obtain the conjugate charges for the CFT side. The real-time correlators are also found to agree with the CFT expectations.

References in corpus (23)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• The Rotating Dyonic Black Holes Of Kaluza-Klein Theory
• Rotating Kaluza-Klein Black Holes
• Holographic Duals of Kaluza-Klein Black Holes
• Real-time correlators in Kerr/CFT correspondence
• Hidden Conformal Symmetry of the Kerr-Newman Black Hole
• Hidden Conformal Symmetries of Five-Dimensional Black Holes
• On Holographic description of the Kerr-Newman-AdS-dS black holes
• Microscopic Realization of the Kerr/CFT Correspondence
• Hidden conformal symmetry of rotating charged black holes
• Hidden Conformal Symmetry of the Reissner-Nordstrøm Black Holes
• Real-time Correlators and Hidden Conformal Symmetry in Kerr/CFT Correspondence
• String Theory on Warped AdS_3 and Virasoro Resonances
• Particle dynamics near extreme Kerr throat and supersymmetry
• Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity
• Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
• Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole
• Zeta(n) via hyperbolic functions
• New Near Horizon Limit in Kerr/CFT
• Correlation Functions and Hidden Conformal Symmetry of Kerr Black Holes
• Hidden Conformal Symmetry of Warped AdS_3 Black Holes
• Kerr-CFT From Black-Hole Thermodynamics
• States of a chiral 2d CFT

Cited by in corpus (10)

• Conformal Symmetry for Black Holes in Four Dimensions
• Kerr-Newman-NUT-Kiselev black holes in Rastall theory of gravity and Kerr/CFT Correspondence
• General Hidden Conformal Symmetry of 4D Kerr-Newman and 5D Kerr Black Holes
• CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence
• Rotating black holes and exotic compact objects in the Kerr/CFT correspondence within Rastall gravity
• Dual CFT on Dyonic Kerr-Sen black hole and its gauged and ultraspinning counterparts
• Holographic description of three dimensional Godel black hole
• Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory
• Kerr Black string flow
• Accelerating Kaluza-Klein black hole and Kerr/CFT correspondence