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We consider symmetry-resolved entanglement entropy in AdS${}_3$/CFT${}_2$coupled to $U(1)$ Chern-Simons theory. We identify the holographic dual of thecharged moments in the two-dimensional conformal field theory as a chargedWilson line in the bulk of AdS${}_3$, namely the Ryu-Takayanagi geodesicminimally coupled to the $U(1)$ Chern-Simons gauge field. We identify theholonomy around the Wilson line as the Aharonov-Bohm phases which, in thetwo-dimensional field theory, are generated by charged $U(1)$ vertex operatorsinserted at the endpoints of the entangling interval. Furthermore, we devise anew method to calculate the symmetry resolved entanglement entropy by relatingthe generating function for the charged moments to the amount of charge in theentangling subregion. We calculate the subregion charge from the $U(1)$Chern-Simons gauge field sourced by the bulk Wilson line. We use our method toderive the symmetry-resolved entanglement entropy for Poincar\'e patch andglobal AdS${}_3$, as well as for the conical defect geometries. In all threecases, the symmetry resolved entanglement entropy is determined by the lengthof the Ryu-Takayanagi geodesic and the Chern-Simons level $k$, and fulfillsequipartition of entanglement. The asymptotic symmetry algebra of the bulktheory is of $\hat{\mathfrak{u}}{(1)_k}$ Kac-Moody type. Employing the$\hat{\mathfrak{u}}{(1)_k}$ Kac-Moody symmetry, we confirm our holographicresults by a calculation in the dual conformal field theory.

Symmetry-Resolved Entanglement in AdS${}_3$/CFT${}_2$ coupled to $U(1)$ Chern-Simons Theory