Symplectic cuts and open/closed strings II
Abstract
In arXiv:2306.07329 we established a connection between symplectic cuts of Calabi-Yau threefolds and open topological strings, and used this to introduce an equivariant deformation of the disk potential of toric branes. In this paper we establish a connection to higher-dimensional Calabi-Yau geometries by showing that the equivariant disk potential arises as an equivariant period of certain Calabi-Yau fourfolds and fivefolds, which encode moduli spaces of one and two symplectic cuts (the maximal case) by a construction of Braverman arXiv:alg-geom/9712024. Extended Picard-Fuchs equations for toric branes, capturing dependence on both open and closed string moduli, are derived from a suitable limit of the equivariant quantum cohomology rings of the higher Calabi-Yau geometries.
Cite
@article{arxiv.2410.10960,
title = {Symplectic cuts and open/closed strings II},
author = {Luca Cassia and Pietro Longhi and Maxim Zabzine},
journal= {arXiv preprint arXiv:2410.10960},
year = {2025}
}
Comments
45 pages + appendix, 8 figures; v2: published version with typo corrections and textual improvements