Microscopic entropy of the charged BTZ black hole

Abstract

The charged BTZ black hole is characterized by a power-law curvature singularity generated by the electric charge of the hole. The curvature singularity produces ln r terms in the asymptotic expansion of the gravitational field and divergent contributions to the boundary terms. We show that these boundary deformations can be generated by the action of the conformal group in two dimensions and that an appropriate renormalization procedure allows for the definition of finite boundary charges. In the semiclassical regime the central charge of the dual CFT turns out to be that calculated by Brown and Henneaux, whereas the charge associated with time translation is given by the renormalized black hole mass. We then show that the Cardy formula reproduces exactly the Bekenstein-Hawking entropy of the charged BTZ black hole.

9 pages, no figures

References in corpus (20)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• Microscopic Origin of the Bekenstein-Hawking Entropy
• A Stress Tensor for Anti-de Sitter Gravity
• Geometry of the 2+1 Black Hole
• Black Hole Entropy from Near-Horizon Microstates
• D-brane Approach to Black Hole Quantum Mechanics
• The (2+1)-Dimensional Black Hole
• Three-Dimensional Gravity Revisited
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• What We Don't Know about BTZ Black Hole Entropy
• Relating black holes in two and three dimensions
• Asymptotic symmetries of AdS_2 and conformal group in d=1
• Entropy of 2D black holes from counting microstates
• Non-singular four-dimensional black holes and the Jackiw-Teitelboim theory
• About some exact solutions for 2+1 gravity coupled to gauge fields
• A Note on Einstein Gravity on AdS${}_3$ and Boundary Conformal Field Theory
• Virasoro Orbits, AdS_3 Quantum Gravity and Entropy
• Conformal Dynamics of 0-Branes

Cited by in corpus (32)

• Asymptotic charged BTZ black hole solutions
• Complexity Growth for AdS Black Holes
• Lower-Dimensional Black Hole Chemistry
• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• Chiral anomalies and AdS/CMT in two dimensions
• Thermodynamic stability of charged BTZ black holes: Ensemble dependency problem and its solution
• Thermodynamic Geometry Of Charged Rotating BTZ Black Holes
• Charged BTZ-like Black Holes in Higher Dimensions
• Holographic complexity and action growth in massive gravities
• Heat engine in the three-dimensional spacetime
• Exponential corrected thermodynamics of Born-Infeld BTZ black holes in massive gravity
• 3D gauged supergravity from wrapped M5-branes with AdS/CMT applications
• Instability of Super-Entropic Black Holes in Extended Thermodynamics
• A Microscopic Description of Thermodynamic Volume in Extended Black Hole Thermodynamics
• Quasinormal Modes and Thermodynamics of Linearly Charged BTZ Black holes in Massive Gravity in (Anti)de Sitter Space Time
• Are Superentropic black holes superentropic?
• The Cardy-Verlinde formula and entropy of the charged rotating BTZ black hole
• BPS-like bound and thermodynamics of the charged BTZ black hole
• Diagnosis inspired by the thermodynamic geometry for different thermodynamic schemes of the charged BTZ black hole
• Thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Non-linear black holes in 2+1 dimensions as heat engines
• Asymptotic structure of the Einstein-Maxwell theory on AdS${}_3$
• Quark-antiquark confinement and nonlinear electrodynamics
• Thermodynamical and dynamical properties of Charged BTZ Black Holes
• Thermodynamics of 2+1 dimensional Coulomb-Like Black Holes from Non Linear Electrodynamics with a traceless energy momentum tensor
• Entropy function approach to charged BTZ black hole
• Quasi-local conserved charges in the Einstein-Maxwell theory
• Holographic Thermodynamics of BTZ Black Holes and Tsallis Entropy
• Charged rotating BTZ solution revisited: New coordinates and algebraic classifications
• Holographic Joule-Thomson Expansion in Lower Dimensions
• Conserved charges and black holes in the Einstein-Maxwell theory on AdS${}_3$ reconsidered