Logarithmic corrections to black hole entropy, from the Cardy formula

By Steven Carlip. 2000

319 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1006d87436616f2b9776b97e71c6cd091d65f29d

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Citations in the corpus

Quantum gravity partition functions in three dimensions (2007, methodology): “They were computed for the BTZ black hole in [33].”
Quantum geometry of isolated horizons and black hole entropy (2000, methodology): “e is already an elegant derivation of the sub-leading correction to entropy in the SU(2) framework [43] and the resulting logarithmic correction is supported by a closer analysis of the Cardy formula [44]. As another example of the robustness of the entropy calculation, note that the jvalues that de”