On supersymmetric AdS$_{3}$ solutions of Type II
Résumé
We classify supersymmetric warped AdS$_{3×w}$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.
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