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arXiv · 2309.14628

Open/closed Correspondence and Extended LG/CY Correspondence for Quintic Threefolds

Konstantin Aleshkin·Chiu-Chu Melissa Liu
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Abstract

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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Konstantin Aleshkin, Chiu-Chu Melissa Liu. 2023-09-26. Open/closed Correspondence and Extended LG/CY Correspondence for Quintic Threefolds. https://arxiv.org/abs/2309.14628

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