Asymptotic Symmetry and Classical holographic dual of $d{S}_3$ supergravity

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.

arXiv comment15 pages, 1 figure

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Cited by in corpus (1)

• Dual Theory for maximally $\mathcal{N}$ extended flat Supergravity