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.

15 pages, 1 figure

References in corpus (5)

• The BMS/GCA correspondence
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• Liouville theory beyond the cosmological horizon
• N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis

Cited by in corpus (1)

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