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.

arXiv comment33+1 pages, references added, typos corrected, reference added

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• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• JT gravity from holographic reduction of 3D asymptotically flat spacetime
• Supersymmetrization of deformed BMS algebras
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory
• Dual Theory for maximally $\mathcal{N}$ extended flat Supergravity
• Asymmetric Galilean conformal algebras
• Asymptotic Symmetry and Classical holographic dual of $d{S}_3$ supergravity