Classification of simple Harish–Chandra modules over the Ovsienko–Roger superalgebra

Source abstract

In this paper, we give a new method to classify all simple cuspidal modules for the $\mathbb {Z}$ -graded and $1/2\mathbb {Z}$ -graded Ovsienko–Roger superalgebras. Using this result, we classify all simple Harish–Chandra modules over some related Lie superalgebras, including the $N=1$ BMS $_3$ superalgebra, the super $W(2,2)$ , etc.