A class of non-weight modules over the super-BMS3 algebra

In the present paper, non-weight modules over the super-BMS 3 algebras [Formula: see text] ([Formula: see text] or [Formula: see text]) are constructed. Assume that [Formula: see text] and [Formula: see text] are the Cartan subalgebra (modulo center) of [Formula: see text] and [Formula: see text], respectively. These modules over [Formula: see text] when restricted to the [Formula: see text] are free of rank [Formula: see text], while these modules over [Formula: see text] when restricted to the [Formula: see text] are free of rank [Formula: see text]. Then we determine the necessary and sufficient conditions for these modules being simple, as well as determining the necessary and sufficient conditions for two [Formula: see text]-modules being isomorphic.