Abelian fibrations, string junctions, and flux/geometry duality
Abstract
In previous work, it was argued that the type IIB T6/Bbb Z2 orientifold with a choice of flux preserving Script N = 2 supersymmetry is dual to a class of purely geometric type IIA compactifications on abelian surface (T4) 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 T4 rather than T2 fibers. The second is an explicit algebro-geometric construction in which the T4 fibers arise as the Jacobian tori of a family of genus-2 curves. This improved description of the duality map will be a useful tool to extend our understanding of warped compactifications. We sketch applications to related work to define warped Kaluza-Klein reduction in toroidal orientifolds, and to check the modified rules for D-brane instanton zero mode counting due to the presence of flux and other D-branes. The nontrivial fundamental groups of the Calabi-Yau manifolds constructed also have potential applications to heterotic model building.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- April 2009
- DOI:
- 10.1088/1126-6708/2009/04/119
- arXiv:
- arXiv:0810.5195
- Bibcode:
- 2009JHEP...04..119D
- Keywords:
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- High Energy Physics - Theory;
- Mathematics - Algebraic Geometry
- E-Print:
- 76 pages, 17 figures