AdS Branes Corresponding to Superconformal Defects

We investigate an AdS4 ×L2 D5-brane in AdS5 ×X5 space-time, in the context of AdS/dCFT correspondence. Here, X5 is a Sasaki-Einstein manifold and L2 is a submanifold of X5. This brane has the same supersymmetry as the 3 dimensional N = 1 superconformal symmetry if L2 is a special Legendrian submanifold in X5. In this case, this brane is supposed to correspond to a superconformal wall defect in 4-dimensional N = 4 super Yang-Mills theory. We construct these new string backgrounds and show they have the correct supersymmetry, also in the case with non-trivial gauge flux on L2. The simplest new example is AdS4×T 2 brane in AdS5×S. We construct the brane solution expressing the RG flow between two different defects. We also perform similar analysis for an AdS3 ×L3 M5-brane in AdS4 ×X7, for a weak G2 manifold X7 and its submanifold L3. This system has the same supersymmetry as 2-dimensional N = (1, 0) superconformal symmetry, if L3 is an associative submanifold.