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Non-Kähler SYZ Mirror Symmetry

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Abstract

We study SYZ mirror symmetry in the context of non-Kähler 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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Authors and Affiliations

  1. Harvard University, Cambridge, MA, USA

    Siu-Cheong Lau & Shing-Tung Yau

  2. University of California, Irvine, CA, USA

    Li-Sheng Tseng

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  1. Siu-Cheong Lau
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  2. Li-Sheng Tseng
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  3. Shing-Tung Yau
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Correspondence to Siu-Cheong Lau.

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Communicated by H.-T. Yau

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Lau, SC., Tseng, LS. & Yau, ST. Non-Kähler SYZ Mirror Symmetry. Commun. Math. Phys. 340, 145–170 (2015). https://doi.org/10.1007/s00220-015-2454-1

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  • DOI: https://doi.org/10.1007/s00220-015-2454-1

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