Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz Black Hole

Abstract

In this paper we calculate leading order correction due to small statistical fluctuations around equilibrium, to the Bekenstein-Hawking entropy formula for the Achucarro-Oritz black hole, which is the most general two-dimensional black hole derived from the three-dimensional rotating Banados-Teitelboim-Zanelli black hole. Then we obtain the same correction to the Cardy-Verlinde entropy formula (which is supposed to be an entropy formula of conformal field theory in any dimension).

10 pages, no figure,LaTeX,,references added, typos corrected,clarifying comments added in Introduction, no physics changed, version to appear in Eur.Phys.J.C (2004)