Searching for surface defect CFTs within AdS3

We study AdS(3)xS3/ZkxS3/Zk ' solutions to M-theory preserving N = (0, 4) supersymmetries, arising as near-horizon limits of M2-M5 brane intersections ending on M5'-branes, with both types of five-branes placed on A-type singularities. Solutions in this class asymptote locally to AdS(7)/ZkxS3/Zk', and can thus be interpreted as holographic duals to surface defect CFTs within the N = (1, 0) 6d CFT dual to this solution. Upon reduction to Type IIA, we obtain a new class of solutions of the form AdS(3)x S-3/Z(k)x S(2)x Sigma (2) preserving (0,4) supersymmetries. We construct explicit 2d quiver CFTs dual to these solutions, describing D2-D4 surface defects embedded within the 6d (1,0) quiver CFT dual to the AdS(7)/Z(k) solution to massless IIA. Finally, in the massive case, we show that the recently constructed AdS(3)x S(2)x CY2 solutions with N = (0, 4) supersymmetries gain a defect interpretation as surface CFTs originating from D2-NS5-D6 defects embedded within the 5d CFT dual to the Brandhuber-Oz AdS(6) background.