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In this paper, we consider the R\'enyi entanglement asymmetry of excitedstates in the 1+1 dimensional free compact boson conformal field theory (CFT)at equilibrium. We obtain a universal CFT expression written by correlationfunctions for the charged moments via the replica trick. We provide detailedanalytic computations of the second R\'enyi entanglement asymmetry in the freecompact boson CFT for excited states $\Psi=V_{\beta}+V_{-\beta}$ and$\Phi=V_{\beta}+J$ with $V_{\beta}$ and $J=i\partial\phi$ being the vertexoperator and current operator respectively. We make numerical tests of theuniversal CFT computations using the XX spin chain model. Taking thenon-Hermite fake RDMs into consideration, we propose an effective way to testthem numerically, which can be applied to other excited states. The CFTpredictions are in perfect agreement with the exact numerical calculations.

R\'enyi entanglement asymmetry in 1+1-dimensional conformal field theories