GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O
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Date
2016-10-27
Authors
Hilburn, Justin
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Journal ISSN
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Publisher
University of Oregon
Abstract
In this thesis I show that indecomposable projective and tilting modules in hypertoric category O are obtained by applying a variant of the geometric Jacquet functor of Emerton, Nadler, and Vilonen to certain Gel'fand-Kapranov-Zelevinsky hypergeometric systems. This proves the abelian case of a conjecture of Bullimore, Gaiotto, Dimofte, and Hilburn on the behavior of generic Dirichlet boundary conditions in 3d N=4 SUSY gauge theories.
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Keywords
3d N=4, Boundary condition, Category O, Hypertoric, Symplectic duality, Symplectic resolution