English

Non-Kaehler SYZ mirror symmetry

Differential Geometry 2016-01-15 v2 High Energy Physics - Theory Algebraic Geometry

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)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.

Keywords

Cite

@article{arxiv.1409.2765,
  title  = {Non-Kaehler SYZ mirror symmetry},
  author = {Siu-Cheong Lau and Li-Sheng Tseng and Shing-Tung Yau},
  journal= {arXiv preprint arXiv:1409.2765},
  year   = {2016}
}

Comments

24 pages

R2 v1 2026-06-22T05:52:31.708Z