  Models for strongly interacting fermions in disordered clusters forming an
array, with electron hopping between sites, reproduce the linear dependence on
temperature of the resistivity, typical of the strange metal phase of High
Temperature Superconducting materials (Extended Sachdev-Ye-Kitaev (SYK)
models). Our hydrodynamical approach to the marginal Fermi liquid emerging out
of the interaction, identifies the low energy collective excitations of the
system in its coherent phase. These neutral excitations diffuse in the lattice,
but the diffusion is heavily hindered by coupling to the pseudo Goldstone modes
of the conformal broken symmetry SYK phase, which are local in space. A
critical temperature for superconductivity arises in the electron liquid,in
case these excitations are assumed to mediate an attractive Cooper-pairing, in
the electron liquid, which is not BCS-like.
