Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity

Abstract

Motivated by the recently proposed Kerr/CFT correspondence, we investigate the holographic dual of the extremal and non-extremal rotating linear dilaton black hole in Einstein-Maxwell-Dilaton-Axion Gravity. For the case of extremal black hole, by imposing the appropriate boundary condition at spatial infinity of the near horizon extremal geometry, the Virasoro algebra of conserved charges associated with the asymptotic symmetry group is obtained. It is shown that the microscopic entropy of the dual conformal field given by Cardy formula exactly agrees with Bekenstein-Hawking entropy of extremal black hole. Then, by rewriting the wave equation of massless scalar field with sufficient low energy as the SL(2, R)${}_L$$\times$SL(2, R)${}_R$ Casimir operator, we find the hidden conformal symmetry of the non-extremal linear dilaton black hole, which implies that the non-extremal rotating linear dilaton black hole is holographically dual to a two dimensional conformal field theory with the non-zero left and right temperatures. Furthermore, it is shown that the entropy of non-extremal black hole can be reproduced by using Cardy formula.

15 pages, no figure, published version

References in corpus (24)

• CFT Duals for Extreme Black Holes
• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• Greybody Factors and Charges in Kerr/CFT
• Central Charges in Extreme Black Hole/CFT Correspondence
• Holographic Duals of Kaluza-Klein Black Holes
• Another Realization of Kerr/CFT Correspondence
• Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
• The Kerr/CFT Correspondence and String Theory
• Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
• Extremal Kerr black hole/CFT correspondence in the five dimensional Gödel universe
• Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole
• Emerging AdS from Extremally Rotating NS5-branes
• Extremal Isolated Horizon/CFT Correspondence
• 5D Extremal Rotating Black Holes and CFT duals
• Hidden conformal symmetry of rotating charged black holes
• Holographic RG flow dual to attractor flow in extremal black holes
• On Holographic Dual of the Dyonic Reissner-Nordström Black Hole
• Conformal Symmetry for Rotating D-branes
• Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
• Hidden Conformal Symmetry of Self-Dual Warped AdS_3 Black Holes in Topological Massive Gravity
• The Entropy for General Extremal Black Holes
• Black Hole Vacua and Rotation
• Holographic descriptions of (near-)extremal black holes in five dimensional minimal supergravity
• Effective Action, Boundary Conditions, and Virasoro Algebra for AdS${}_3$

Cited by in corpus (10)

• New Near Horizon Limit in Kerr/CFT
• Analytical studies of Hawking radiation and quasinormal modes in rotating linear dilatonic black hole
• 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
• Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions
• Signal Recovery in Unions of Subspaces with Applications to Compressive Imaging
• Hidden conformal symmetry for dyonic Kerr-Sen black hole and its gauged family
• Holographic description of three dimensional Godel black hole
• Chern-Simons vortices and holography
• Holographic Q-Picture of Black Holes in Five Dimensional Minimal Supergravity