Algebraic properties of the $N=1$ BMS superalgebra

This paper investigates the algebraic properties of the Bondi–Metzner–Sachs (BMS) superalgebra, as initially introduced by G. Barnich, L. Donnay, J. Matulich and R. Troncoso, Asymptotic symmetries and dynamics of 3D flat supergravity, J. High Energy Phys.2014 (2014) 071. We introduce a new realization of the BMS superalgebra using the Balinsky–Novikov construction. Utilizing this approach, we prove that the BMS superalgebra constitutes the unique minimal supersymmetric extension of the BMS algebra in three dimensions. Additionally, we compute the low-order cohomology groups of the BMS superalgebra and classify its derivations, central extensions, and automorphisms.