D1 and D5-brane giant gravitons on AdS 3 × S3 × S3 × S1

Abstract

Abstract: We construct various examples of 1/4-BPS giant gravitons embedded into the type IIB supergravity background AdS3 × S+3 × S−3 × S1 with pure R-R flux: two D1-brane giants wrapping 1-cycles in AdS3 and S+3 × S−3, and one D5-brane giant wrapping a 4-cycle in S+3 × S−3 and the S1. These D-branes are supported by angular momenta α P on one 3-sphere and (1 − α) P on the other. We then construct a general class of 1/8-BPS D5-brane giant gravitons wrapping 4-cycles Σ in S+3 × S−3 and the S1. Here Σ is the intersection of a holomorphic surface C in ℂ+2 × ℂ−2 with the S+3 × S−3 submanifold. The holomorphic surface C is defined by f(y1z1, y1z2, y2z1, y2z2) = 0, with ya and za the ℂ±2 complex coordinates. There is supersymmetry enhancement to 1/4-BPS in the special case f(y1z1) = 0 of which our original D5-brane giant graviton is an example.