In this paper, we classify all simple weight modules with finite dimensional
weight spaces over the $N=2$ superconformal algebra.Comment: 18 pages, Latex, in this version we delete the Section 7 for
  application to the $N=1$ superconformal algebr

Liu, Dong

Pei, Yufeng

Xia, Limeng

English

arXiv

In this paper, we classify all simple weight modules with finite-dimensional
weight spaces over the $N=2$ Ramond algebra. Any such module $V$ is either a
simple highest weight module or a simple lowest weight module, or a simple
cuspidal module with ${\rm b}(V)\le 2$.Comment: 15 pages, the published manuscript is its Chinese version, the
  methods in Section 4 are origina

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

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