References & Citations
Mathematics > Algebraic Geometry
Title: Central charges in local mirror symmetry via hypergeometric duality
(Submitted on 25 Apr 2024 (v1), last revised 14 May 2024 (this version, v2))
Abstract: We apply the better-behaved GKZ hypergeometric systems to study toric Calabi-Yau Deligne-Mumford stacks and their Hori-Vafa mirrors given by affine hypersurfaces in algebraic tori. We show the equality between A-brane and B-brane central charges, in terms of period integrals and hypergeometric series respectively. This settles a conjecture of Hosono, which could also be considered as a generalization of the Gamma conjecture for local mirror symmetry.
Submission history
From: Zengrui Han [view email][v1] Thu, 25 Apr 2024 00:06:19 GMT (23kb)
[v2] Tue, 14 May 2024 06:41:37 GMT (24kb)
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