Consistent truncations with reduced supersymmetry of D=11 supergravity through exceptional field theory

We study consistent truncations of 11d supergravity on the seven-sphere S7, by means of exceptional generalised geometry, in the perspective of a broader understanding of the particular instance of the gauge/gravity holographic correspondence given by AdS4 x S7 and the ABJM model. We want to prove the upliftability of N=2 4d gauged supergravity, with gauge group SO(6)SO(2) and ratio of coupling constants different from 1, by proving that such ratio, being a deformation parameter, can be attributed to the geometry of the internal manifold, namely a deformation of the S1 radius in the fibration: S7 locally equivalent to CP3 and S1. We provide original results on the structures leading to consistent truncations of 11d supergravity to 4d N=2 gauged supergravity.