  Operators transform anomalously under the symmetry in the presence of quantum
anomalies. We study this aspect of the super-Weyl anomaly in $\mathcal N=(1,1)$
superconformal field theories (SCFTs), in the context of AdS/CFT. In
particular, we carry out holographic renormalization for $(1,1)$ pure AdS$_3$
supergravity that is supposed to be a gravity dual of the $\mathcal N=(1,1)$
SCFT, and derive holographic superconformal Ward identities with corresponding
anomalies. We show that the obtained super-Weyl anomaly of the $\mathcal
N=(1,1)$ SCFT induces a quantum correction term in the transformation law of
the supercurrent under the rigid supersymmetry. We demonstrate that the
correction term does not affect the $\mathcal N=(1,1)$ rigid supersymmetry
algebra on two-sphere.
