Hypertoric 2-categories O and symplectic duality

Autor:	Gammage, Benjamin, Hilburn, Justin
Rok vydání:	2023
Předmět:	Mathematics - Representation Theory High Energy Physics - Theory Mathematics - Algebraic Geometry Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	We define 2-categories of microlocal perverse (resp. coherent) sheaves of categories on the skeleton of a hypertoric variety and show that the generators of these 2-categories lift the projectives (resp. simples) in hypertoric category $\mathcal{O}$. We then establish equivalences of 2-categories categorifying the Koszul duality between Gale dual hypertoric categories $\mathcal{O}$. These constructions give a prototype for understanding symplectic duality via the fully extended 3d mirror symmetry conjecture. Comment: 36 pages. Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.06172 Zobrazit plný text záznamu View this record from Arxiv