Smooth representations of the N=2 supersymmetric BMS algebra

In the study of BMS invariant theories, the [Formula: see text] supersymmetric BMS algebra was introduced. We investigate the simple smooth modules over the [Formula: see text] supersymmetric BMS algebra in this paper. Specificially, we construct a class of simple smooth modules which are induced from simple modules over finite-dimensional solvable Lie superalgebras. Moreover, we present several equivalent descriptions for simple smooth modules over the [Formula: see text] supersymmetric BMS algebra. Some specific examples of simple smooth modules including Whittaker modules are presented as well.