We will discuss reductions of M-theory and type II theories to four dimensions preserving N=1 and N=2 supersymmetry, in the language of exceptional generalized geometry. We will introduce the relevant structures which encode the NSNS and RR degrees of freedom, discuss the geometry of their orbits under the action of the U-duality group (i.e., the moduli space metrics), and how they enter in the superpotential.
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