Whittaker modules of central extensions of Takiff superalgebras and finite supersymmetric $W$-algebras

Chih-Whi Chen, Shun-Jen Cheng, Uhi Rinn Suh

For a basic classical Lie superalgebra $\mathfrak{s}$, let $\mathfrak{g}$ be the central extension of the Takiff superalgebra $\mathfrak{s}\otimes \Lambda (\theta )$, where $\theta$ is an odd indetermin…