Three-dimensional Poincare supergravity and N-extended supersymmetric BMS3 algebra

A new approach for obtaining the three-dimensional Chern-Simons supergravity for the Poincare algebra is presented. The N-extended Poincare supergravity is obtained by expanding the super Lorentz theory. We extend our procedure to their respective asymptotic symmetries and show that the N = (1, 2, 4) super-BMS3 appear as expansions of one Virasoro superalgebra. Interestingly, the N-extended super-BMS3 obtained here are not only centrally extended but also endowed with internal symmetry. We also show that the N-extended super Poincare algebras with both central and automorphism generators are finite subalgebras. (C) 2019 The Authors. Published by Elsevier B.V.