Twisting K3 × T2 orbifolds

Abstract

We construct a class of geometric twists of Calabi-Yau manifolds of Voisin-Borcea type (K3 × T2)/2 and study the superpotential in a type IIA orientifold based on this geometry. The twists modify the direct product by fibering the K3 over T2 while preserving the 2 involution. As an important application, the Voisin-Borcea class contains T6/(2 × 2), the usual setting for intersecting D6 brane model building. Past work in this context considered only those twists inherited from T6, but our work extends these twists to a subset of the blow-up modes. Our work naturally generalizes to arbitrary K3 fibered Calabi-Yau manifolds and to nongeometric constructions. © SISSA 2007.