Non-Kaehler SYZ mirror symmetry

Siu-Cheong Lau Boston University Li-Sheng Tseng University of California, Irvine Shing-Tung Yau Harvard University


Communications in Mathematical Physics, 340, (1), 145-170, 2015
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.
Non-Kaehler, SYZ, mirror symmetry, nilmanifold
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  title={Non-Kaehler 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-Kaehler SYZ mirror symmetry. 2015. Vol. 340. In Communications in Mathematical Physics. pp.145-170.
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