Simple Restricted modules for N=2 Neveu-Schwarz algebra

2026/08/05 by Yuezhu Wu, Wei Jiang, Yan He
Mathematics · #math.RT

paper · pdf

28 pages. All comments are welcome

arxiv created 2026/08/05 · arxiv updated 2026/08/06

Abstract

In this paper, we first construct many simple restricted modules for the N=2 Neveu-Schwarz algebra L. These modules contain the highest weight modules and Whittaker modules. Then we precisely characterize the simple restricted modules over L under certain conditions, and establish several equivalent conditions for a simple \(L\)-module to be restricted. Finally, we prove that if one specific positive root element of L acts locally finitely on a simple L-module V, then V must be restricted.

Citations

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