Open/closed Correspondence and Extended LG/CY Correspondence for Quintic Threefolds
arxiv(2023)
摘要
We show that Walcher's disk potential for the quintic threefold can be
represented as a central charge of a specific Gauged Linear Sigma Model which
we call the extended quintic GLSM. This representation provides an open/closed
correspondence for the quintic threefold since the central charge is a
generating function of closed genus-zero GLSM invariants. We also explain how
open Landau-Ginzburg/Calabi-Yau correspondence and open mirror symmetry for the
quintic are compatible with wall-crossing and mirror symmetry of the extended
GLSM, respectively.
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