Logarithmic corrections to black hole entropy, from the Cardy formula

Many recent attempts to calculate black hole entropy from first principles rely on conformal field theory techniques. By examining the logarithmic cor rections 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 correc tion proportional to the logarithm of the horizon size, and agree qualitati vely with recent results from 'quantum geometry' in 3 + 1 dimensions. There are some indications that even the coefficient of the correction may be un iversal, up to differences that depend on the treatment of angular momentum and conserved charges.