Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra

Abstract

In this paper, we classify all simple jet modules for the Neveu-Schwarz algebra $\hat{\mathfrak{k}}$ and its contact subalgebra ${\mathfrak{k}}^{+}$. Based on these results, we give a classification of simple Harish-Chandra modules for $\hat{\mathfrak{k}}$ and ${\mathfrak{k}}^{+}$.

arXiv commentarXiv admin note: text overlap with arXiv:2007.04483

References in corpus (4)

• Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
• Superconformal field theory and Jack superpolynomials
• Classification of simple bounded weight modules of the Lie algebra of vector fields on $\C^n$
• Classification of simple Harish-Chandra modules over the N=1 Ramond algebra