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arXiv · 2410.08617

Super duality for Whittaker modules and finite $W$-algebras

Shun-Jen Cheng·Weiqiang Wang
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Abstract

We establish a super duality as an equivalence between Whittaker module categories over a pair of classical Lie algebra and Lie superalgebra in the infinite-rank limit. Building on this result and utilizing the Losev-Shu-Xiao decomposition, we obtain a super duality which is an equivalence between module categories over a pair of finite $W$-algebras and $W$-superalgebras at the infinite-rank limit.

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BibTeXRIS

Shun-Jen Cheng, Weiqiang Wang. 2024-10-11. Super duality for Whittaker modules and finite $W$-algebras. https://arxiv.org/abs/2410.08617

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