  We propose a 2D QFT generalization of the Sachdev-Ye-Kitaev model, which we
argue preserves most of its features. The UV limit of the model is described by
$N$ copies of a topological Ising CFT. The full interacting model exhibits
conformal symmetry in the IR and an emergent pseudo-Goldstone mode that arises
from broken reparametrization symmetry. We find that the effective action of
the Goldstone mode matches with the 3D AdS gravity action, viewed as a
functional of the boundary metric. We compute the spectral density and show
that the leading deviation from conformal invariance looks like a $T \bar{T}$
deformation. We comment on the relation between the IR effective action and
Liouville CFT.
