Simple restricted modules for Neveu-Schwarz algebra
Representation Theory
2019-06-21 v2 Mathematical Physics
math.MP
Rings and Algebras
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.
Cite
@article{arxiv.1812.03435,
title = {Simple restricted modules for Neveu-Schwarz algebra},
author = {Dong Liu and Yufeng Pei and Limeng Xia},
journal= {arXiv preprint arXiv:1812.03435},
year = {2019}
}
Comments
Latex, 17page. arXiv admin note: text overlap with arXiv:1608.07908 by other authors