  Glassy dynamics have time-reparametrization `softness': glasses fluctuate,
and respond to external perturbations, primarily by changing the pace of their
evolution. Remarkably, the same situation also appears in toy models of quantum
field theory such as the Sachdev-Ye-Kitaev (SYK) model, where the excitations
associated to reparametrizations play the role of an emerging `gravity'. I
describe here how these two seemingly unrelated systems share common features,
arising from a technically very similar origin. This connection is particularly
close between glassy dynamics and supersymmetric variants of the SYK model,
which I discuss in some detail. Apart from the curiosity that this
correspondence naturally arouses, there is also the hope that developments in
each field may be useful for the other.
