arXiv 1812.034352018-12math.RTmath-phmath.MPmath.RA

Simple restricted modules for Neveu-Schwarz algebra

Dong Liu, Yufeng Pei, Limeng Xia

备注：: Latex, 17page. arXiv admin note: text overlap with arXiv:1608.07908 by other authors

英文摘要：

In this paper, we give a construction of simple modules generalizing and including both highest weight and Whittaker modules for the Neveu-Schwarz algebra, in the spirit of the work of Mazorchuk and Zhao on simple Virasoro modules. We establish a 1-1 correspondence between simple restricted Neveu-Schwarz modules and simple modules of a family of finite dimensional solvable Lie superalgebras associated to the Neveu-Schwarz algebra. Moreover, for two of these superalgebras all simple modules are classified.

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