Exceptionl Field Theory

U-duality appears as a group of hidden symmetries in toroidal reduction of 11-dimensional supergravity. While the p-form fields transform as linear representations under the duality transformations, the scalar fields live in a coset and transform non-linearly.
The Exceptional Field Theory is based on the structures of Extended Geometry defined on the so-called extended space. This framework considers U-duality transformations as a local gauge symmetry of the extended space.
In this talk we will see, that both 11-dimensional supergravity and Type IIb supergravity can be obtained by choosing a solution of the section condition, a constraint that projects the extended space to the conventional space-time.