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arXiv · 1409.2765

Non-Kaehler SYZ mirror symmetry

Siu-Cheong Lau·Li-Sheng Tseng·Shing-Tung Yau
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Abstract

We study SYZ mirror symmetry in the context of non-Kaehler Calabi-Yau manifolds. In particular, we study the six-dimensional Type II supersymmetric $SU(3)$ systems with Ramond-Ramond fluxes, and generalize them to higher dimensions. We show that Fourier-Mukai transform provides the mirror map between these Type IIA and Type IIB supersymmetric systems in the semi-flat setting. This is concretely exhibited by nilmanifolds.

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Siu-Cheong Lau, Li-Sheng Tseng, Shing-Tung Yau. 2014-09-09. Non-Kaehler SYZ mirror symmetry. https://doi.org/10.1007/s00220-015-2454-1

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