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Malek, Emanuel (2017): Half-Maximal Supersymmetry from Exceptional Field Theory. In: Fortschritte der Physik - Progress of Physics, Bd. 65, Nr. 43414, 1700061

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Abstract

We study D4-dimensional half-maximal flux backgrounds using exceptional field theory. We define the relevant generalised structures and also find the integrability conditions which give warped half-maximal Minkowski(D) and AdS(D) vacua. We then show how to obtain consistent truncations of type II / 11-dimensional SUGRA which break half the supersymmetry. Such truncations can be defined on backgrounds admitting exceptional generalised SO (d-1-N) structures, where d=11-D, and N is the number of vector multiplets obtained in the lower-dimensional theory. Our procedure yields the most general embedding tensors satisfying the linear constraint of half-maximal gauged SUGRA. We use this to prove that all D4 half-maximal warped AdS(D) and Minkowski(D) vacua of type II / 11-dimensional SUGRA admit a consistent truncation keeping only the gravitational supermultiplet. We also show to obtain heterotic double field theory from exceptional field theory and comment on the M-theory / heterotic duality. In five dimensions, we find a new SO(5, N) double field theory with a (6+N)-dimensional extended space. Its section condition has one solution corresponding to 10-dimensional N=1 supergravity and another yielding six-dimensional N=(2,0) SUGRA.

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