Non-Kahler SYZ Mirror Symmetry

作者:Lau Siu Cheong*; Tseng Li Sheng; Yau Shing Tung
来源:Communications in Mathematical Physics, 2015, 340(1): 145-170.
DOI:10.1007/s00220-015-2454-1

摘要

We study SYZ mirror symmetry in the context of non-Kahler 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.

  • 出版日期2015-11