More on Probing Branes with Branes

TL;DR

This paper extends known solutions for Kaluza-Klein black holes to describe Type IIA D-brane bound states, and compares supergravity and SYM calculations, finding precise agreement in static and velocity-dependent forces.

Contribution

It generalizes the Gibbons-Wiltshire solution to include D6-D0 bound states and probes various D-brane configurations, demonstrating agreement between supergravity and SYM results.

Findings

Exact match between supergravity and SYM for static forces.

Agreement also holds for velocity-dependent ($v^2$) forces.

Validates the probe approach for diverse D-brane systems.

Abstract

We generalize the Gibbons-Wiltshire solution of four dimensional Kaluza-Klein black holes in order to describe Type IIA solutions of bound states of D6 and D0-branes. We probe the solutions with a D6-brane and a D0-brane. We also probe a system of D2+D0-branes and of a D2-brane bound to a F1-string with a D2-brane. A precise agreement between the SYM and the SUGRA calculations is found for the static force as well as for the $v^2$ force in all cases.