D 1 and D 5 - brane giant gravitons on AdS 3 × S 3 × S 3 × S 1

We construct various examples of 14 -BPS giant gravitons embedded into the type IIB supergravity background AdS3×S +×S −×S with pure R-R flux: two D1-brane giants wrapping 1-cycles in AdS3 and S 3 +×S −, and one D5-brane giant wrapping a 4-cycle in S3 + × S3 − and the S1. These D-branes are supported by angular momenta αP on one 3-sphere and (1−α)P on the other. We then construct a general class of 18 -BPS D5-brane giant gravitons wrapping 4-cycles Σ in S3 +×S − and the S1. Here Σ is the intersection of a holomorphic surface C in C+×C− with the S3 +×S − submanifold. The holomorphic surface C is defined by f(y1z1, y1z2, y2z1, y2z2) = 0, with ya and za the C± complex coordinates. There is supersymmetry enhancement to 14 -BPS in the special case f(y1z1) = 0 of which our original D5-brane giant graviton is an example.