Representations of the twisted $N=2$ superconformal algebra

Haibo Chen, Yukun Xiao

Published 2023-03-13, updated 2023-03-20Version 2

In this paper, we construct a large class of new simple modules over the twisted $N=2$ superconformal algebra. These new simple modules over the twisted $N=2$ superconformal algebra are restricted modules and include various versions of Whittaker modules. More precisely, based on simple modules over the finite-dimensional solvable Lie superalgebras, we construct many simple restricted modules over the twisted $N=2$ superconformal algebra.