Categorical Equivalences of Finite W-Superalgebras and Clifford Twists

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

Associated with an even nilpotent element $e$ in a basic classical Lie superalgebra $\mathfrak{g}$, we study, in full generality, two constructions of finite $W$-superalgebras, def…