  Some generalizations of the Sachdev-Ye-Kitaev (SYK) model and different
patterns of their reparametrization symmetry breaking are discussed. The
analysis of such (pseudo)holographic systems relates their generalized
one-dimensional Schwarzian dynamics to (quasi) two-dimensional Liouvillian
quantum mechanics. As compared to the original SYK case, the latter might be
dissipative or have discrete states in its spectrum, either of which properties
alters thermodynamics and correlations while preserving the underlying
$SL(2,R)$ symmetry.
