New Solutions to the G₂ Hull-Strominger System Via Torus Fibrations Over K3 Orbifolds

Using torus fibrations over K3 orbisurfaces, we construct new smooth solutions to the G₂ G 2 Hull–Strominger system. These manifolds arise as total spaces of principal T³ T 3 (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 Kähler metric. The stable bundle is obtained via an adaptation of the Serre construction to the singular setting.