Super duality for Whittaker modules and finite W-algebras

Key Points

• The study establishes a super duality, providing an equivalence between Whittaker module categories for classical Lie algebras.
• Key findings showcase equivalences between module categories of finite W-algebras and W-superalgebras in high-rank limits.
• Using the Losev–Shu–Xiao decomposition streamlines the understanding of these dualities and their implications for module categories.
• The findings highlight significant algebraic structures that underpin the relationships between superalgebras and their classical counterparts.