Conformal Tightness of Holographic Scaling in Black Hole Thermodynamics

Abstract

The near-horizon conformal symmetry of nonextremal black holes is shown to be a mandatory ingredient for the holographic scaling of the scalar-field contribution to the black hole entropy. This conformal tightness is revealed by semiclassical first-principle scaling arguments through an analysis of the multiplicative factors in the entropy due to the radial and angular degrees of freedom associated with a scalar field. Specifically, the conformal SO(2,1) invariance of the radial degree of freedom conspires with the area proportionality of the angular momentum sums to yield a robust holographic outcome.

23 pages, 1 figure. v2 & v3: expanded explanations and proofs, references added, typos corrected; v3: published version

References in corpus (10)

• Entanglement entropy of black holes
• Anomaly in conformal quantum mechanics: From molecular physics to black holes
• Horizon Constraints and Black Hole Entropy
• Horizon constraints and black hole entropy
• Black Hole Thermodynamics from Near-Horizon Conformal Quantum Mechanics
• Renormalization in conformal quantum mechanics
• Semiclassical Methods in Curved Spacetime and Black Hole Thermodynamics
• Conformal Enhancement of Holographic Scaling in Black Hole Thermodynamics: A Near-Horizon Heat-Kernel Framework
• Equivalence of the Path Integral for Fermions in Cartesian and Spherical Coordinates
• Existence of a Semiclassical Approximation in Loop Quantum Gravity

Cited by in corpus (11)

• Higher order corrected thermodynamics and statistics of Kerr-Newman-Godel black hole
• Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole
• Effective Field Theory of Black Hole Echoes
• Acceleration radiation of an atom freely falling into a Kerr black hole and near-horizon conformal quantum mechanics
• Quantum optics meets black hole thermodynamics via conformal quantum mechanics: II. Thermodynamics of acceleration radiation
• Thermal effect in a causal diamond: open quantum systems approach
• Time of falling of a quantum particle into an inverse square potential
• Spectral Properties of the Symmetry Generators of Conformal Quantum Mechanics: A Path-Integral Approach
• Conformal quantum mechanics of causal diamonds: Time evolution, thermality, and instability via path integral functionals
• Quantum aspects of spacetime: A quantum optics view of acceleration radiation and black holes
• Quantum optics meets black hole thermodynamics via conformal quantum mechanics: I. Master equation for acceleration radiation