Generalised Structures for $\mathcal{N}=1$ AdS Backgrounds
Résumé
We expand upon a claim made in a recent paper [ arXiv:1411.5721 ] that generic minimally supersymmetric AdS backgrounds of warped flux compactifications of Type II and M theory can be understood as satisfying a straightforward weak integrability condition in the language of $ {E}_{d(d)}\times {\mathrm{\mathbb{R}}}^{+} $ generalised geometry. Namely, they are spaces admitting a generalised G-structure set by the Killing spinor and with constant singlet generalised intrinsic torsion.