Consistent truncations and G2 -invariant AdS4 solutions of D=11 supergravity

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 G2-invariant solutions of =11 supergravity. Their geometry is of the form AdS4×Σ7 where Σ7 is a deformed seven-sphere, preserving SO(7) isometries.