Classification of simple Harish-Chandra modules over the Ovsienko-Roger superalgebra
Abstract
With the -operators for the Virasoro algebra BF and the super Virasoro algebra in CL, CLL, we get the -operators for the Ovsienko-Roger superalgebras in this paper and then use it to classify all simple cuspidal modules for the -graded and 12-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 BMS3 algebra, the super W(2,2), etc.
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