Whittaker modules for a subalgebra of N=2 superconformal algebra

TL;DR

This paper classifies and analyzes the irreducibility of Whittaker modules for a specific subalgebra of the N=2 superconformal algebra, advancing understanding of their structure and representation theory.

Contribution

It introduces a classification of Whittaker modules for the subalgebra and provides criteria for their irreducibility, which is a novel contribution.

Findings

Whittaker modules are classified by central characters.

Criteria for irreducibility of these modules are established.

The structure of modules for the subalgebra is clarified.

Abstract

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