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arXiv · 2208.06520

Simple restricted modules over the $N=1$ Ramond algebra as weak modules for vertex operator superalgebras

Haibo Chen
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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 \cite{L1}, a classification of simple weak $\psi$-twisted $\bar W(0,c)$-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 \cite{LPX}).

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Haibo Chen. 2022-08-12. Simple restricted modules over the $N=1$ Ramond algebra as weak modules for vertex operator superalgebras. https://arxiv.org/abs/2208.06520

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