Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-17
JHEP 0710:052,2007
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, 3 figures, LaTeX; v2: references added
Scientific paper
10.1088/1126-6708/2007/10/052
Fibrations of flux backgrounds by supersymmetric cycles are investigated. For an internal six-manifold M with static SU(2) structure and mirror \hat{M}, it is argued that the product M x \hat{M} is doubly fibered by supersymmetric three-tori, with both sets of fibers transverse to M and \hat{M}. The mirror map is then realized by T-dualizing the fibers. Mirror-symmetric properties of the fluxes, both geometric and non-geometric, are shown to agree with previous conjectures based on the requirement of mirror symmetry for Killing prepotentials. The fibers are conjectured to be destabilized by fluxes on generic SU(3)xSU(3) backgrounds, though they may survive at type-jumping points. T-dualizing the surviving fibers ensures the exchange of pure spinors under mirror symmetry.
Grange Pascal
Schafer-Nameki Sakura
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