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arXiv · 1905.10239

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

Nabamita Banerjee·Arindam Bhattacharjee·Neetu·Turmoli Neogi
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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 ${\cal{N}}=2$ 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 ${\cal{N}}=2$ SuperBMS$_3$ symmetry. We have also commented on the phase space description of the duals.

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Nabamita Banerjee, Arindam Bhattacharjee, Neetu, Turmoli Neogi. 2019-05-24. New N=2 SuperBMS$_3$ algebra and Invariant Dual Theory for 3D Supergravity. https://doi.org/10.1007/jhep11(2019)122

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