Open/closed correspondence and extended LG/CY correspondence for quintic threefolds
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.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Advanced Algebra and Geometry
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Contemporary mathematics - American Mathematical Society
- Publisher
- American Mathematical Society
- Pages
- 1–40
- Publication date
- 1 May 2026
- Language
- EN