Abelian Fibrations, String Junctions, and Flux/Geometry Duality

Understand

In previous work, it was argued that the type IIB T^6/Z_2 orientifold with a choice of flux preserving N=2 supersymmetry is dual to a class of purely geometric type IIA compactifications on abelian surface (T^4) fibered Calabi-Yau threefolds.

• We provide two explicit constructions of the resulting Calabi-Yau duals.
• The first is a monodromy based description, analogous to F-theory encoding of Calabi-Yau geometry via 7-branes and string junctions, except for T^4 rather than T^2 fibers.
• The second is an explicit algebro-geometric construction in which the T^4 fibers arise as the Jacobian tori of a family of genus-2 curves.