in this talk, i will use kuznetsovs description of the derived category of a smooth cubic hypersurface to give a new construction of some stable acm bundles on cubic threefolds and cubic fourfolds containing a plane. i will also present a wall-crossing phenomenon that allows to relate the compactification of the moduli space of instantons on a cubic threefold with a moduli space of torsion sheaves a non-commutative projective plane. this is a joint work with emanuele macr and paolo stellari.