Logarithmic Corrections to Black Hole Entropy from the Cardy Formula

Abstract

Many recent attempts to calculate black hole entropy from first principles rely on conformal field theory techniques. By examining the logarithmic corrections to the Cardy formula, I compute the first-order quantum correction to the Bekenstein-Hawking entropy in several models, including those based on asymptotic symmetries, horizon symmetries, and certain string theories. Despite very different physical assumptions, these models all give a correction proportional to the logarithm of the horizon size, and agree qualitatively with recent results from ``quantum geometry'' in 3+1 dimensions. There are some indications that even the coefficient of the correction may be universal, up to differences that depend on the treatment of angular momentum and conserved charges.

14 pages, LaTeX; v2: appendix added on relation of Cardy formula to string theory ``level density''; v3: appendix added on quantum corrections to central charge; minor corrections and added references; to appear in Class. Quant. Grav

References in corpus (5)

• Logarithmic correction to the Bekenstein-Hawking entropy
• Entropy from Conformal Field Theory at Killing Horizons
• A Black Hole Farey Tail
• Area law corrections from state counting and supergravity
• Black Hole Entropy from Horizon Conformal Field Theory

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