Asymptotic Symmetry and Classical holographic dual of $dS_3$ supergravity

TL;DR

This paper analyzes minimal supergravity in three-dimensional de-Sitter space, deriving its asymptotic symmetry algebra and establishing a classical dual boundary theory through a series of reductions.

Contribution

It introduces specific fall-off conditions for gravitini, derives the asymptotic symmetry algebra, and connects the bulk supergravity to boundary WZW and super-Liouville models.

Findings

Asymptotic symmetry algebra derived for 3D dS supergravity.

Reduction to boundary WZW and super-Liouville models.

Proposes a classical holographic dual for the bulk theory.

Abstract

We consider minimal supergravity on (2+1)dimensional de-Sitter background. We fix the fall-off 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 fall-off conditions impose constraints on the phase space which reduces the Chern Simons theory to a WZW 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.