On the N  = 2 BMS conformal superalgebra

We construct and study the N=2 BMS conformal superalgebra W whose annihilation superalgebra is a maximal subalgebra of the N=2 super BMS algebra. We determine the conformal derivations, biderivations, and central extensions. We also completely classify the free conformal modules of rank (1+1) and finite irreducible conformal modules over W.