New Solutions to the $G_2$ Hull-Strominger System via torus fibrations over $K3$ orbifolds
Differential Geometry
2026-01-29 v1
Abstract
Using torus fibrations over K3 orbisurfaces, we construct new smooth solutions to the Hull-Strominger system. These manifolds arise as total spaces of principal (orbi)bundles over singular K3 surfaces. Our construction is based on the choice of three divisors on a singular K3 surface that are primitive with respect to a particular K\"ahlermetric. The stable bundle is obtained via an adaptation of the Serre construction to the singular setting.
Keywords
Cite
@article{arxiv.2601.20813,
title = {New Solutions to the $G_2$ Hull-Strominger System via torus fibrations over $K3$ orbifolds},
author = {Anna Fino and Gueo Grantcharov and Jose Medel},
journal= {arXiv preprint arXiv:2601.20813},
year = {2026}
}
Comments
18 pages