Probing 4-Dimensional Nonsupersymmetric Black Holes Carrying D0- and D6-brane charges
Avinash Dhar, Gautam Mandal
TL;DR
The paper studies a 4D nonsupersymmetric black hole in Type IIA string theory carrying D0- and D6-brane charges, and introduces a four-number parametrization that reveals a brane/antibrane structure even far from extremality. It shows that the entropy is U-duality invariant and derives a microscopic Yang–Mills bound-state description for the extremal case, alongside a 1-loop matrix theory potential for a D0-brane probe that agrees with the corresponding supergravity calculation in the regime of large charge ratio. The authors then construct a Yang–Mills configuration on T^6 whose energy equals the extremal black hole mass and perform a matrix theory calculation of the 1-loop potential, finding agreement with gravity; they also argue for consistency at 2-loop order in the same limit. Together these results provide evidence that a nonsupersymmetric black hole can be analyzed coherently within matrix theory and supergravity in a controlled, large-charge regime, illuminating strong-coupling dynamics beyond supersymmetry.
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.