Super duality for Whittaker modules and finite $W$-algebras
| Autor: | Cheng, Shun-Jen, Wang, Weiqiang |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 35 pages |
| Databáze: | arXiv |
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