Whittaker modules for a subalgebra of N = 2 superconformal algebra

Abstract

In this paper, Whittaker modules are studied for a subalgebra ${\mathfrak{q}}_{ϵ}$ of the $N$=2 superconformal algebra. The Whittaker modules are classified by central characters. Additionally, criteria for the irreducibility of the Whittaker modules are given.

Keywords:

• N = 2 superconformal algebra
• Whittaker module
• Whittaker vector

2020 Mathematics Subject Classification:

• 17B10

Acknowledgments

N. Jing would like to thank the support of Simons Foundation Grant 523868 and NSFC Grant No. 12171303. H. Zhang would like to thank the support of NSFC Grant No. 12271332 and Shanghai Natural Science Foundation Grant no. 22ZR1424600.