  We derive the four-point correlators of scalar operators of dimension one in
the supergravity limit of the D1D5 CFT holographically dual to string theory on
AdS$_3\times S^3\times \mathcal{M}$, with $\mathcal{M}$ either $T^4$ or $K3$.
We avoid the use of Witten diagrams but deduce our result from a limit of the
heavy-heavy-light-light correlators computed in arXiv:1705.09250, together with
several consistency requirements of the OPE in the various channels. This
result represents the first holographic correlators of single-trace operators
computed in AdS$_3$.
