Entropy Corrections for a Charged Black Hole of String Theory

TL;DR

This paper investigates quantum corrections to the entropy of a string theory-derived charged black hole, deriving both leading and non-leading modifications to the classical area law using thermodynamic principles.

Contribution

It introduces a method to compute quantum entropy corrections for charged black holes from string theory beyond semiclassical approximations.

Findings

Derived logarithmic and non-leading entropy corrections.

Extended the understanding of black hole thermodynamics in string theory.

Provided explicit formulas for quantum entropy corrections.

Abstract

We study the entropy of the Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) charged black hole, originated from the effective action that emerges in the low-energy of string theory, beyond semiclassical approximations. Applying the properties of exact differentials for three variables to the first law thermodynamics we derive the quantum corrections to the entropy of the black hole. The leading (logarithmic) and non leading corrections to the area law are obtained.