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Abstract: In previous work, it was argued that the type IIB T^6-Z 2 orientifold with achoice of flux preserving N=2 supersymmetry is dual to a class of purelygeometric type IIA compactifications on abelian surface T^4 fiberedCalabi-Yau threefolds. We provide two explicit constructions of the resultingCalabi-Yau duals. The first is a monodromy based description, analogous toF-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 explicitalgebro-geometric construction in which the T^4 fibers arise as the Jacobiantori of a family of genus-2 curves. This improved description of the dualitymap will be a useful tool to extend our understanding of warpedcompactifications. We sketch applications to related work to define warpedKaluza-Klein reduction in toroidal orientifolds, and to check the modifiedrules for D-brane instanton zero mode counting due to the presence of flux andother D-branes. The nontrivial fundamental groups of the Calabi-Yau manifoldsconstructed also have potential applications to heterotic model building.



Autor: Ron Donagi, Peng Gao, Michael B. Schulz

Fuente: https://arxiv.org/



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