String theory on \mathrm{ AdS}_3\times \mathrm{ S}^3 \times \mathrm{ S}^3 \times \mathrm{S}^1 with two units of NS flux through each of the two 3-spheres (and one unit of NS flux supporting the \mathrm{AdS}_3 factor) was recently argued to be exactly dual to the symmetric orbifold of eight free fermions and two bosons. This setup is interesting since it allows for a simple NS-R description. In this paper we study the spherical D-branes of this theory, and identify them with branes in the dual symmetric orbifold theory. We also comment briefly on the \mathrm{AdS}_2 branes.
