Consistent Kaluza-Klein truncations via exceptional field theory

TLDR: In this article, the generalized Scherk-Schwarz reduction ansatz for the full supersymmetric exceptional eld theory in terms of group valued twist matrices subject to consistency equations is presented.

Abstract: We present the generalized Scherk-Schwarz reduction ansatz for the full supersymmetric exceptional eld theory in terms of group valued twist matrices subject to consistency equations. With this ansatz the eld equations precisely reduce to those of lowerdimensional gauged supergravity parametrized by an embedding tensor. We explicitly construct a family of twist matrices as solutions of the consistency equations. They induce gauged supergravities with gauge groups SOpp;qq and CSOpp;q;rq. Geometrically, they describe compactications on internal spaces given by spheres and (warped) hyperboloides H p;q , thus extending the applicability of generalized Scherk-Schwarz reductions beyond homogeneous spaces. Together with the dictionary that relates exceptional eld