Supersymmetric warped solutions from Type IIB orientifold reduction

We construct a family of supersymmetric solutions in Type IIB supergravity of the form WAdS3 × WS3 × T4, where WAdS3 and WS3 denote a warped anti-de Sitter spacetime and a warped 3-sphere, respectively, while T4 denotes an internal 4-torus. These backgrounds are constructed by uplifting corresponding solutions in the D = 6, N = (1, 1) ungauged supergravity resulting from the compactification of Type IIB supergravity on a T4/ℤ2-orientifold. More specifically, the supersymmetric solutions are WAdS3 × WS3 × T4 with lightlike warped AdS3 and WAdS3 × S3 × T4 in which the warping of AdS3 is generic. Moreover, we also construct solutions in the form of a warped product LMζ,ω3 ×w S3 × T4 of a 2-parameter deformation LMζ,ω3 of AdS3 and a three-sphere. We discuss the relation of these backgrounds to known solutions.