Classification of simple weight modules for the $N=2$ superconformal algebra

Dong Liu, Yufeng Pei, Limeng Xia

Published 2019-04-18Version 1

In this paper, we classify all simple weight modules with finite dimensional weight spaces over the $N=2$ superconformal algebra. As an application, we give a new proof of the classification of such modules for the $N=1$ superconformal algebra, which was originally published in [25].