New N=2 SuperBMS${}_3$ algebra and Invariant Dual Theory for 3D Supergravity

Abstract

We have constructed a two dimensional theory dual to 3D asymptotically flat Supergravity in presence of two supercharges with(out) internal $R-$symmetry. The duals in both the cases are identified with chiral Wess-Zumino-Witten models. Further gauging the theories, we show that the dual of the one without $R-$symmetry is invariant under the well known $\mathcal{N}=2$ SuperBMS${}_3$ introduced in Banerjee et.al. 1609.09210 , while for the one with $R-$symmetry, the dual is invariant under the most generic, so far unknown, quantum $\mathcal{N}=2$ SuperBMS${}_3$ symmetry. We have also commented on the phase space description of the duals.

33+1 pages, references added, typos corrected, reference added