On supersymmetric AdS${}_3$ solutions of Type II

Abstract

We classify supersymmetric warped AdS${}_3{\times }_w{M}_7$ backgrounds of Type IIA and Type IIB supergravity with non-constant dilaton, generic RR fluxes and magnetic NSNS flux, in terms of a dynamic $SU(3)$-structure on $M_7$. We illustrate our results by recovering several solutions with various amounts of supersymmetry. The dynamic $SU(3)$-structure includes a $G_2$-structure as a limiting case, and we show that in Type IIB this is integrable.

15 pages. v2: additional examples with G2-structure