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.
Comment: 15 pages, no figure. Several references are added and explanations for refs. [27],[28],[29] are inserted in sections 1, 2, and 5. Explanations for eq. (1) and its variation are improved. Comments for the notation and calculation are added in footnotes