Integrable open spin-chains in AdS3/CFT2 correspondences

We study integrable open boundary conditions for d(2,1;α)2 and psu(1,1|2)2 spin-chains. Magnon excitations of these open spin-chains are mapped to massive excitations of type-IIB open superstrings ending on D-branes in the AdS3×S3×S3×S1 and AdS3×S3×T4 supergravity geometries with pure R-R flux. We derive reflection matrix solutions of the boundary Yang-Baxter equation which intertwine representations of a variety of boundary coideal subalgebras of the bulk Hopf superalgebra. Many of these integrable boundaries are matched to D1- and D5-brane maximal giant gravitons.