Statistical Entropy of an Extremal Black Hole with 0- and 6-Brane Charge

TL;DR

This paper presents a new extremal, non-supersymmetric black hole solution with 0- and 6-brane charges in type IIA string theory, showing agreement between gravitational and D-brane descriptions, supporting an extended black hole-string correspondence.

Contribution

It introduces a novel black hole solution with multiple charges and demonstrates the correspondence principle's applicability beyond single-charge cases.

Findings

Mass and entropy match between descriptions at a specific point

Solution is metastable for large charges

Supports extension of black hole-string correspondence

Abstract

A black hole solution to low energy type IIA string theory which is extremal, non-supersymmetric, and carries 0- and 6-brane charge is presented. For large values of the charges it is metastable and a corresponding D-brane picture can be found. The mass and statistical entropy of the two descriptions agree at a correspondence point up to factors of order one, providing more evidence that the correspondence principle for black holes and strings of Horowitz and Polchinski may be extended to include black holes with more than one Ramond-Ramond charge.