Mirror Symmetry in Generalized Calabi-Yau Compactifications

Details Mirror Symmetry in Generalized Calabi-Yau Compactifications Mirror Symmetry in Generalized Calabi-Yau Compactifications

2002-11-12

arxiv.org/abs/hep-th/0211102v2

Nucl.Phys. B654 (2003) 61-113

Physics

High Energy Physics

High Energy Physics - Theory

54 pages latex, references added, typos corrected

Scientific paper

10.1016/S0550-3213(03)00045-2

We discuss mirror symmetry in generalized Calabi-Yau compactifications of type II string theories with background NS fluxes. Starting from type IIB compactified on Calabi-Yau threefolds with NS three-form flux we show that the mirror type IIA theory arises from a purely geometrical compactification on a different class of six-manifolds. These mirror manifolds have SU(3) structure and are termed half-flat; they are neither complex nor Ricci-flat and their holonomy group is no longer SU(3). We show that type IIA appropriately compactified on such manifolds gives the correct mirror-symmetric low-energy effective action.

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