Abstract

In the present paper, a class of new simple modules over the N=1 Ramond algebra are constructed, which are induced from simple modules over some finite dimensional solvable Lie superalgebras. These new modules are simple restricted modules over the N=1 Ramond algebra. Combined with the result in [22], a classification of simple weak ψ-twisted W¯(0,c)-modules under certain conditions is also given. At last, some examples of simple restricted N=1 Ramond modules as various versions of Whittaker modules are presented (classical Whittaker modules were studied in [17]).

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