Surface defects in the D4-D8 brane system

A new class of exact supersymmetric solutions is derived within minimal d = 6 F(4) gauged supergravity. These flows are all characterized by a non-trivial radial profile for the 2-form gauge potential included into the supergravity multiplet. In particular three solutions within this class are featured by an AdS3 foliation of the 6d background and by an AdS6 asymptotic geometry. Secondly, considering the simplest example of these, we give its massive IIA uplift describing a warped solution of the type AdS3 × S 2 × S 3 fibered over two intervals I r × I ξ . We interpret this background as the near-horizon of a D4-D8 system on which a bound state D2-NS5-D6 ends producing a surface defect. Finally we discuss its holographic dual interpretation in terms of a $N$ = (0, 4) SCFT2 defect theory within the $N$ = 2 SCFT5 dual to the AdS6 × S 4 massive IIA warped vacuum.