${\cal N}=(1,1)$ supersymmetric AdS$_3$ in 10 dimensions

Abstract: Warped AdS$_3$ solutions in 10 dimensional supergravity that preserve ${\cal N}=(1,1)$ supersymmetry are considered. Sufficient geometric conditions for their existence, and to stop the AdS$_3$ factor experiencing an enhancement to AdS$_4$, are presented. The internal space of such solutions decomposes as a foliation of M$_6$ over an interval where M$_6$ supports either an SU(3)- or SU(2)-structure. The former case is classified in terms of torsion classes and new solutions are found