Probing 4-Dimensional Nonsupersymmetric Black Holes Carrying D0- and D6-brane charges

TL;DR

This paper analyzes a 4D nonsupersymmetric black hole in type IIA string theory with D0- and D6-brane charges, revealing its brane structure, entropy, and probe interactions, and compares supergravity and matrix theory results.

Contribution

It introduces a new parametrization of the black hole solution that uncovers its brane-antibrane structure and U-duality invariant entropy expression.

Findings

The entropy formula is U-duality invariant.

The extremal brane configuration is explicitly constructed.

The 1-loop matrix theory potential matches supergravity in certain limits.

Abstract

We discuss a 4-dimensional nonsupersymmetric black hole solution to low energy type IIA string theory which carries D0- and D6-brane charges. For equal charges this solution reduces to the one discussed recently by Sheinblatt. We present a new parametrization of the solution in terms of four numbers which reveals the underlying brane and antibrane structure of the black hole arbitrarily far from extremality. In this parametrization, the entropy of the general nonextremal black hole takes on a simple U-duality invariant form. A Yang-Mills solution for the brane configuration corresponding to the extremal case is constructed and a computation of the 1-loop matrix theory potential for the scattering of a 0-brane probe off this brane configuration done. We find that this agrees with the 1-loop potential obtained from a supergravity calculation in the limit in which the ratio of the 0-brane to 6-brane charges is large.