New supersymmetric bubbles on AdS 3 × S 3

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 Kähler base studied by LeBrun. For particular choices of the parameters, we find regular backgrounds that are asymptotic to the near-horizon limit of the D1-D5-P black string and so the asymptotic AdS ₃ × 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.