Super Virasoro Algebra From Supergravity
arXiv:1211.3547 · doi:10.1103/PhysRevD.87.045028
Abstract
We investigate AdS3/CFT2 correspondence in three dimensional supergravity. We construct a current for general coordinate invariance and that for local supersymmetry via covariant approach. Hamiltonian and supercharge are well defined in terms of vielbein and spin connection. After discussing asymptotic supersymmetry group at the boundary of AdS3 geometry, we show that there exist a direct product of Virasoro algebras at the boundary. We also show that one of them is extended to super Virasoro algebra.
19 pages. references added, typos corrected and discussions on the Dirac bracket of the Hamiltonian and the supercharge are added in section 6