  In this note, we construct Noether charges for the chiral supergravity, which
contains the Lorentz Chern-Simons term, by applying Wald's prescription to the
vielbein formalism. We investigate the AdS3/CFT2 correspondence by using the
vielbein formalism. The asymptotic symmetry group is carefully examined by
taking into account the local Lorentz transformation, and we construct super
Virasoro algebras with central extensions from the chiral supergravity.
