Conformal Tightness of Holographic Scaling in Black Hole Thermodynamics

Details Conformal Tightness of Holographic Scaling in Black Hole Thermodynamics Conformal Tightness of Holographic Scaling in Black Hole Thermodynamics

2009-03-11

arxiv.org/abs/0903.1960v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 figure

Scientific paper

The near-horizon conformal symmetry of nonextremal black holes is shown to be a mandatory ingredient for the holographic scaling of the black hole entropy. This conformal tightness is revealed by semiclassical first-principle scaling arguments through an analysis of the relative contributions of the radial and angular degrees of freedom to the entropy. 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.

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