On Genus-One-Corrected Extremal Black Holes and the Correspondence Principle

TL;DR

This paper presents analytic solutions for string-loop-corrected extremal black holes, demonstrating how their entropy can be microscopically interpreted via D-brane systems, thus linking string theory corrections to black hole thermodynamics.

Contribution

It provides explicit one-loop-corrected solutions for extremal magnetic and dyonic black holes and applies the correspondence principle to connect entropy with D-brane microstates.

Findings

Loop-corrected dilaton is non-singular at the origin for magnetic solutions.

Entropy of loop-corrected magnetic black holes matches microscopic D-brane entropy.

Analytic solutions are derived for one-loop-corrected extremal black holes.

Abstract

We discuss charged black-hole solutions to the equations of motion of the string-loop-corrected effective action. At the string-tree level, these solutions provide backgrounds for the "chiral null model". The effective action contains gravity, dilaton and moduli fields. Analytic solutions of the one-loop-corrected equations of motion are presented for the extremal magnetic and dyonic black holes. Using the fact that in magnetic solution the loop-corrected dilaton is non-singular at the origin, we apply the correspondence principle to show that the entropy of the loop-corrected magnetic black hole can be interpreted as the microscopic entropy of the D-brane system.