Comparing D-branes to Black-branes

TL;DR

The paper tests the D-brane description of black-branes by computing static and velocity-dependent potentials between two different D-branes and comparing these results with an 11D supergravity calculation of zero black-brane scattering from higher-dimensional black-branes. It uses the one-loop open-string amplitude to obtain D-brane interactions and an 11D geodesic approach to derive long-range black-brane potentials, examining cases with unbroken supersymmetry and moving branes. The main finding is a precise agreement between the D-brane and 11D calculations at large separations, providing evidence for the D-brane/black-brane correspondence and the 11D origin of type IIA string theory. This strengthens the bridge between worldsheet D-brane physics and spacetime supergravity in M-theory.

Abstract

We calculate the potential between two different stationary D-branes and the velocity dependent potential between two different moving D-branes. We identify configurations with some unbroken supersymmetry, using a zero force condition. The potentials are compared with an eleven dimensional calculation of the scattering of a zero black-brane from the $0,2,4$ and 6 black-brane of type IIA supergravity. The agreement of these calculations provide further evidence for the D-brane description of black-branes, and for the eleven dimensional origin of type IIA string theory.