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

Abstract

With the $\Omega$-operators for the Virasoro algebra \cite{BF} and the super Virasoro algebra in \cite{CL, CLL}, we get the $\Omega$-operators for the Ovsienko-Roger superalgebras in this paper and then use it to classify all simple cuspidal modules for the $\bZ$-graded and $\frac12\bZ$-graded Ovsienko-Roger superalgebras. By this result, we can easily classify all simple Harish-Chandra modules over some related Lie superalgebras, including the $N=1$ BMS${}_3$ algebra, the super $W(2,2)$, etc.

Latex, 12pages

References in corpus (2)

• The BMS/GCA correspondence
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity

Cited by in corpus (1)

• The BRST quantisation of chiral BMS-like field theories