  Within a holographic framework we construct supersymmetric Q-lattice (`Susy
Q') solutions that describe RG flows driven by supersymmetric and spatially
modulated deformations of the dual CFTs. We focus on a specific $D=4$
supergravity model which arises as a consistent KK truncation of $D=11$
supergravity on the seven sphere that preserves $SO(4)\times SO(4)$ symmetry.
The Susy Q solutions are dual to boomerang RG flows, flowing from ABJM theory
in the UV, deformed by spatially modulated mass terms depending on one of the
spatial directions, back to the ABJM vacuum in the far IR. For large enough
deformations the boomerang flows approach the well known Poincar\'e invariant
RG dielectric flow. The spatially averaged energy density vanishes for the Susy
Q solutions.
