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arXiv · 0903.1960

Conformal Tightness of Holographic Scaling in Black Hole Thermodynamics

Horacio E. Camblong·Carlos R. Ordonez
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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.

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Horacio E. Camblong, Carlos R. Ordonez. 2013-08-02. Conformal Tightness of Holographic Scaling in Black Hole Thermodynamics. https://doi.org/10.1088/0264-9381%2F30%2F17%2F175007

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