Supersymmetric D3/D5 for massive defects on curved space

We construct the holographic dual for N = 4 SYM on S-4 and AdS(4) coupled to massive N = 2 supersymmetric quenched flavor fi elds on a codimension-1 defect, which is S-3 and AdS(3), respectively. The holographic description is in terms of a D3/probe D5 brane system. We set up and reduce the BPS equations for D5-brane embeddings with arbitrary supersymmetric deformations and partly solve them at the non-linear level. The remaining equations are solved explicitly in a small- mass expansion. We compute the contribution of the defect fi elds to the partition function on S-4 and compare to a fi eld theory computation using supersymmetric localization, for which we set up the matrix model. Both computations agree, lending strong support to holographic probe brane constructions using D3/D5 con fi gurations in general.