New Solutions to the G2 Hull-Strominger System via torus fibrations over K3 orbifolds
Abstract
Using torus fibrations over K3 orbisurfaces, we construct new smooth solutions to the G2 Hull-Strominger system. These manifolds arise as total spaces of principal T3 (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.
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