Non-Khler SYZ mirror symmetry

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

Mathematical Physics mathscidoc:1912.43617

Communications in Mathematical Physics, 340, (1), 145-170
We study SYZ mirror symmetry in the context of non-Khler CalabiYau manifolds. In particular, we study the six-dimensional Type II supersymmetric <i>SU</i>(3) systems with RamondRamond fluxes, and generalize them to higher dimensions. We show that FourierMukai 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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  title={Non-Khler SYZ mirror symmetry},
  author={Siu-Cheong Lau, Li-Sheng Tseng, and Shing-Tung Yau},
  booktitle={Communications in Mathematical Physics},
Siu-Cheong Lau, Li-Sheng Tseng, and Shing-Tung Yau. Non-Khler SYZ mirror symmetry. Vol. 340. In Communications in Mathematical Physics. pp.145-170.
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