Whittaker modules over the N=2 Neveu-Schwarz algebra

In this paper, we study Whittaker modules over the N = 2 Neveu-Schwarz algebra g. We first classify all simple finite-dimensional modules over the positive part of g. Motivated by this classification, we define Whittaker modules and investigate their simplicity. Finally, we also study the simplicity of the quotient modules of the universal Whittaker module if it is not simple.