  Generalized $1+0$-dimensional Liouvillean dynamics describing deformations of
the Sachdev-Ye-Kitaev (SYK) model, as well as the various $1+1$-dimensional
dilaton and Horava-Lifshitz gravity theories, can all be mapped onto
single-particle quantum mechanics of a non-relativistic charge propagating in a
(generally, curved) $2d$ space and subject to a (generally, non-uniform)
magnetic field. The latter description provides a standard playground for the
phenomenon of Quantum Hall Effect (QHE), thereby elucidating the intrinsically
topological nature of pertinent gravity theories and demystifying their
(pseudo)holographic connection to a broad class of the SYK-like models.
