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arXiv · 1812.03435

Simple restricted modules for Neveu-Schwarz algebra

Dong Liu·Yufeng Pei·Limeng Xia
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Abstract

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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BibTeXRIS

Dong Liu, Yufeng Pei, Limeng Xia. 2018-12-09. Simple restricted modules for Neveu-Schwarz algebra. https://arxiv.org/abs/1812.03435

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