New supersymmetric bubbles on AdS3 x S3

We find a large new class of explicit solutions preserving four supercharges in six-dimensional supergravity. The solutions are determined by solving a linear system of equations on a four-dimensional Kahler base studied by LeBrun. For particular choices of the parameters, we find regular backgrounds that are asymptotic to the mar-horizon limit of the D1-D5-P black string and so the asymptotic AdS(3) x S-3 backgrounds will generically be rotating. Holography implies that these backgrounds should be dual to 1/4-BPS states in the D1-D5-P CFT.