Whittaker Modules over the N = 2 Super-BMS₃ Algebra

Abstract

This paper focuses on the analysis of Whittaker modules and high-order Whittaker modules over the N = 2 super-BMS₃ algebra. We provide a classification of Whittaker vectors and establish the necessary and sufficient conditions for Whittaker modules to be simple. Additionally, we study the simple quotient of the universal Whittaker module if it is not simple.

Keywords

Whittaker module / high order Whittaker module / supersymmetric extension / super-BMS₃ algebra