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

TL;DR

This paper computes the leading order correction to the entropy of the Achucarro-Oritz black hole due to statistical fluctuations and explores its impact on the Cardy-Verlinde entropy formula, linking black hole thermodynamics with conformal field theory.

Contribution

It introduces the first calculation of logarithmic corrections to the Cardy-Verlinde formula for a general two-dimensional black hole derived from a three-dimensional BTZ black hole.

Findings

Derived the correction to the Bekenstein-Hawking entropy for the Achucarro-Oritz black hole.

Obtained the same correction for the Cardy-Verlinde entropy formula.

Established a connection between black hole entropy corrections and conformal field theory entropy.

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).