Near Horizon Geometry of Strings Ending on Intersecting D8/D4-branes

Abstract

We consider solutions of massive IIA supergravity corresponding to the half-BPS intersection of D8/D4-branes with fundamental strings. The $1+1$-dimensional intersection preserves the symmetry $D(2,1;{\hat{I}}^3;1)\times SO(4)$. We give a reduction and partial integration of the BPS equations for this symmetry group. We then specialize to the cases of enhanced supersymmetry corresponding to ${\hat{I}}^3=-1/2,-2$ or ${\hat{I}}^3=1$. In the first case, we show that the only solution with enhanced symmetry is given by the $Ad{S}_6$ geometry describing the near horizon geometry of D8/D4-branes in the presence of an O8-plane. In the second case, we identify novel solutions corresponding to fundamental strings ending on D8-branes and a second set of novel solutions corresponding to fundamental strings ending on an O8-plane. In both cases, the fundamental string geometry contains an asymptotically flat region where the string coupling goes to zero. We also show that there are no solutions corresponding to $1+0$-dimensional CFTs, which one may have hoped to construct by suspending fundamental strings between D8-branes.

36 pages, 6 figures (12 pdf figure files)