The SYZ mirror symmetry and the BKMP remodeling conjecture
Abstract
The Remodeling Conjecture proposed by Bouchard-Klemm-Mari\~{n}o-Pasquetti (BKMP) relates the A-model open and closed topological string amplitudes (open and closed Gromov-Witten invariants) of a symplectic toric Calabi-Yau 3-fold to Eynard-Orantin invariants of its mirror curve. The Remodeling Conjecture can be viewed as a version of all genus open-closed mirror symmetry. The SYZ conjecture explains mirror symmetry as -duality. After a brief review on SYZ mirror symmetry and mirrors of symplectic toric Calabi-Yau 3-orbifolds, we give a non-technical exposition of our results on the Remodeling Conjecture for symplectic toric Calabi-Yau 3-orbifolds. In the end, we apply SYZ mirror symmetry to obtain the descendent version of the all genus mirror symmetry for toric Calabi-Yau 3-orbifolds.
Keywords
Cite
@article{arxiv.1607.06935,
title = {The SYZ mirror symmetry and the BKMP remodeling conjecture},
author = {Bohan Fang and Chiu-Chu Melissa Liu and Zhengyu Zong},
journal= {arXiv preprint arXiv:1607.06935},
year = {2017}
}
Comments
18 pages. Exposition of arXiv:1604.07123