AdS_3 Asymptotic (super)symmetries

TL;DR

This paper analyzes the asymptotic symmetries of AdS_3 supergravity using Chern-Simons formulation, showing they form a superconformal algebra and suggesting super-Liouville dynamics at the boundary.

Contribution

It introduces specific asymptotic conditions for Rarita-Schwinger fields in AdS_3 supergravity, extending known boundary conditions to include supersymmetric fields.

Findings

Asymptotic algebra is superconformal with the same central charge as pure gravity.

Boundary dynamics are described by super-Liouville theory.

Conditions ensure the superalgebra structure at the boundary.

Abstract

The Chern-Simons formulation of $AdS_3$ supergravity is considered. Asymptotic conditions on the Rarita-Schwinger fields are given. Together with the known boundary conditions on the bosonic fields, these ensure that the asymptotic algebra is the superconformal algebra, with the same central charge as the one of pure gravity. It is also indicated that the asymptotic dynamics is described by super-Liouville.