  We consider symmetry-resolved entanglement entropy in AdS${}_3$/CFT${}_2$
coupled to $U(1)$ Chern-Simons theory. We identify the holographic dual of the
charged moments in the two-dimensional conformal field theory as a charged
Wilson line in the bulk of AdS${}_3$, namely the Ryu-Takayanagi geodesic
minimally coupled to the $U(1)$ Chern-Simons gauge field. We identify the
holonomy around the Wilson line as the Aharonov-Bohm phases which, in the
two-dimensional field theory, are generated by charged $U(1)$ vertex operators
inserted at the endpoints of the entangling interval. Furthermore, we devise a
new method to calculate the symmetry resolved entanglement entropy by relating
the generating function for the charged moments to the amount of charge in the
entangling subregion. We calculate the subregion charge from the $U(1)$
Chern-Simons gauge field sourced by the bulk Wilson line. We use our method to
derive the symmetry-resolved entanglement entropy for Poincar\'e patch and
global AdS${}_3$, as well as for the conical defect geometries. In all three
cases, the symmetry resolved entanglement entropy is determined by the length
of the Ryu-Takayanagi geodesic and the Chern-Simons level $k$, and fulfills
equipartition of entanglement. The asymptotic symmetry algebra of the bulk
theory is of $\hat{\mathfrak{u}}{(1)_k}$ Kac-Moody type. Employing the
$\hat{\mathfrak{u}}{(1)_k}$ Kac-Moody symmetry, we confirm our holographic
results by a calculation in the dual conformal field theory.
