String Vacua in Exceptional Generalized Geometry

In this note we outline the main results of a forthcoming publication [M. Grana, F. Orsi, to appear], in collaboration with M. Grana. We analyze Minkowski vacua in the language of exceptional generalized geometry (EGG). Once we identify a twisted derivative operator that contains all NS and RR fluxes and transforms covariantly under the E7(7) U-duality group, we find the differential equations on the structures which parameterize the vector and hypermultiplet moduli spaces of N=2 supergravity, and interpret them in terms of integrability of such structures. We pursue this analysis for both N=1 and N=2 vacua.