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 ...