Asymptotic symmetry and classical holographic dual of dS(3) supergravity

Abstract

We consider minimal supergravity on a (2+1)-dimensional de Sitter background. We fix the falloff conditions for gravitini fields in order to fix the asymptotic phase space. Using the Chern-Simons formulation, we then derive the asymptotic symmetry algebra for this theory. The falloff conditions impose constraints on the phase space which reduces the Chern-Simons theory to a Wess-Zumino-Witten model. Further constraints reduce it to a super-Liouville theory at the boundary. This can be treated as a classical dual for the supergravity theory in the bulk.