  Previous work has established an equality between the geodesic integral of a
free bulk field in AdS and the contribution of the conformal descendants of its
dual CFT primary operator to the OPE of two other operators inserted at the
endpoints of the geodesic. Working in the context of the AdS$_3$/CFT$_2$
correspondence, we extend this relation to include the $1/N$ corrections to the
bulk field obtained by dressing it with i) a $U(1)$ current and ii) the CFT
stress tensor. In the former case, we argue that the contribution of the
Ka\v{c}-Moody descendants to the respective boundary OPE equals the geodesic
integral of a particular $U(1)$-dressed bulk field, which is framed to the
boundary via a split Wilson line. In the latter case, we compute the
gravitational $1/N$ corrections to the bulk field in various gauges, and then
write a CFT expression for a putative bulk field whose geodesic integral
captures the contribution of Virasoro descendants to the OPE of interest. We
comment on the bulk interpretation of this expression.

High Energy Physics - Theory