Simple restricted modules over the $N=1$ Ramond algebra as weak modules for vertex operator superalgebras
Quantum Algebra
2023-02-08 v4 Representation Theory
Abstract
In the present paper, a class of new simple modules over the 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 Ramond algebra. Combined with the result in \cite{L1}, a classification of simple weak -twisted -modules under certain conditions is also given. At last, some examples of simple restricted Ramond modules as various versions of Whittaker modules are presented (classical Whittaker modules were studied in \cite{LPX}).
Cite
@article{arxiv.2208.06520,
title = {Simple restricted modules over the $N=1$ Ramond algebra as weak modules for vertex operator superalgebras},
author = {Haibo Chen},
journal= {arXiv preprint arXiv:2208.06520},
year = {2023}
}