A 'supersymmetry generating' circle compactification technique for type II supergravity is derived and applied to construct new Minkowski flux vacua and generalized solitonic branes.
Consistent truncations and G$_2$-invariant AdS$_4$ solutions of $D=11$ supergravity
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abstract
Maximal supergravities in ten and eleven dimensions admit consistent truncations on particular spheres to maximal supergravities in lower dimensions. Concurrently, the truncation to singlets under any subgroup of the sphere isometry group leads to consistent truncations with less or no supersymmetry. We review the relation between these truncations in the framework of exceptional field theory. As an application, we derive three new G$_2$-invariant solutions of $D=11$ supergravity. Their geometry is of the form AdS$_4\times \Sigma_7$ where $\Sigma_7$ is a deformed seven-sphere, preserving SO(7) isometries.
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Circle compactifications of Minkowski$_D$ solutions, flux vacua and solitonic branes
A 'supersymmetry generating' circle compactification technique for type II supergravity is derived and applied to construct new Minkowski flux vacua and generalized solitonic branes.