AdS3 ×G/H compactifications of chiral IIB supergravity

We present a new class of solutions of D = 10, N = 2 chiral supergravity. A nonvanishing background for the field strength GMNR of the complex twoform triggers AdS3 × M7 compactifications, where M7 is a 7-dimensional compact manifold. When M7 is a nonsymmetric coset space G/H, we can always find a set of constants GMNR covariantly conserved and thus satisfying the field equations. For example the structure constants of G with indices in the G/H directions are a covariantly conserved tensor. In some symmetric G/H, where these structure constants vanish, there may still exist conserved 3-forms, yielding AdS3 ×G/H solutions. The conditions for supersymmetry of the AdS3 × M7 compactifications are derived, and tested for the supersymmetric solutions AdS3 ×S3 ×T 4 and AdS3 × S3 × S3 × S1. Finally, we show that the AdS3 × S3 × T 4 supersymmetric background can be seen as the σ = 0 limit in a one-parameter class of solutions of the form AdS3 × S3 × CP 2, the parameter σ being the inverse “radius” of CP 2. For σ 6= 0 all supersymmetries are broken. Supported in part by EEC under TMR contract ERBFMRX-CT96-0045