New N $$ \mathcal{N} $$ = 2 SuperBMS3 algebra and invariant dual theory for 3D supergravity

Abstract

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 N $$ \mathcal{N} $$ = 2 SuperBMS3 introduced in Banerjee et al. arXiv:1609.09210, while for the one with R-symmetry, the dual is invariant under the most generic, so far unknown, quantum N $$ \mathcal{N} $$ = 2 SuperBMS3 symmetry. We have also commented on the phase space description of the duals.

Keywords

• Classical Theories of Gravity
• Space-Time Symmetries
• Supergravity Models
• Sigma Models