Abelian fibrations, string junctions, and flux/geometry duality
Abstract
In previous work, it was argued that the type IIB T^{6}/Bbb Z_{2} 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 (T^{4}) fibered CalabiYau threefolds. We provide two explicit constructions of the resulting CalabiYau duals. The first is a monodromy based description, analogous to Ftheory encoding of CalabiYau geometry via 7branes and string junctions, except for T^{4} rather than T^{2} fibers. The second is an explicit algebrogeometric construction in which the T^{4} fibers arise as the Jacobian tori of a family of genus2 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 KaluzaKlein reduction in toroidal orientifolds, and to check the modified rules for Dbrane instanton zero mode counting due to the presence of flux and other Dbranes. The nontrivial fundamental groups of the CalabiYau manifolds constructed also have potential applications to heterotic model building.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2009
 DOI:
 10.1088/11266708/2009/04/119
 arXiv:
 arXiv:0810.5195
 Bibcode:
 2009JHEP...04..119D
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry
 EPrint:
 76 pages, 17 figures