Twisting K3 x T^2 Orbifolds

Abstract

We construct a class of geometric twists of Calabi-Yau manifolds of Voisin-Borcea type (K3 x T^2)/Z_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 T^2 while preserving the Z_2 involution. As an important application, the Voisin-Borcea class contains T^6/(Z_2 x Z_2), the usual setting for intersecting D6 brane model building. Past work in this context considered only those twists inherited from T^6, 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.

57 pages, 4 figures; uses harvmac.tex, amssym.tex; v3: minor corrections, references added

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• Linear Sigma Models with Torsion
• Worldsheet Instantons, Torsion Curves, and Non-Perturbative Superpotentials
• Rigid D6-branes on T6/[Z(2)xZ(2M)xOmegaR] with discrete torsion
• Heterotic compactifications on SU(2)-structure backgrounds
• No-scale supersymmetry breaking vacua and soft terms with torsion
• Mirrorfolds with K3 Fibrations
• Type IIA orientifold compactification on SU(2)-structure manifolds
• Circling the Square: Deforming fractional D-branes in Type II/$\Omega \mathcal{R}$ orientifolds
• Ground States of Duality-twisted Sigma-Models with K3 Target Space
• Deformations, Moduli Stabilisation and Gauge Couplings at One-Loop