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arXiv · hep-th/0211102

Mirror Symmetry in Generalized Calabi-Yau Compactifications

Sebastien Gurrieri·Jan Louis·Andrei Micu·Daniel Waldram
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Abstract

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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Sebastien Gurrieri, Jan Louis, Andrei Micu, Daniel Waldram. 2002-11-26. Mirror Symmetry in Generalized Calabi-Yau Compactifications. https://doi.org/10.1016/s0550-3213(03)00045-2

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