Title: Conformality of $1/N$ corrections in SYK-like models,
Abstract: The Sachdev-Ye--Kitaev is a quantum mechanical model of $N$ Majorana fermions
which displays a number of appealing features -- solvability in the strong
coupling regime, near-conformal invariance and maximal chaos -- which make it a
suitable model for black holes in the context of the AdS/CFT holography. In
this paper we show for the colored SYK model and several of its tensor model
cousins that the next-to-leading order in the $N$ expansion preserves the
conformal invariance of the $2$-point function in the strong coupling regime,
up to the contribution of the Goldstone bosons leading to the spontaneous
breaking of the symmetry and which are already seen in the leading order
$4$-point function. We also comment on the composite field approach for
computing correlation functions in colored tensor models.