Supergravity solutions for localized intersections of branes

We construct an explicit supergravity solution for a configuration of localized D4-brane ending on a D6-brane, restricted to the near horizon region of the latter. We generate this solution by dimensionally reducing the supergravity solution for a flat M5-brane in $R{1,7}xC2/ZN$ with the M5-brane partially embedded in $C2/ZN$. We describe the general class of localized intersections and overlaps whose supergravity solutions are constructable in this way. (author)