  We compute the four point function of scalar fields in AdS$_3$ charged under
$U(1)$ Chern-Simons fields using the bulk version of the operator state
mapping. Then we show how this four point function is reproduced from a CFT$_2$
with a global $U(1)$ symmetry, through the contribution of the corresponding
current operator in the operator product expansion, i.e. through the conformal
block of the current operator. We work in a "probe approximation" where the
gravitational interactions are ignored, which corresponds to leaving out the
energy momentum tensor from the operator product expansion.
