Central charges in local mirror symmetry via hypergeometric duality
arXiv:2404.16258 · doi:10.1016/j.aim.2025.110502
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 that the integral structures of A-branes and B-branes coincide. This confirms a local version of a conjecture of Hosono and can be seen as a generalization of the Gamma conjecture for local mirror symmetry.
35 pages. Accepted version, to appear in Advances in Mathematics
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