English

SYZ mirror symmetry of solvmanifolds

Differential Geometry 2024-07-16 v2 Symplectic Geometry

Abstract

We present an effective construction of non-Kaehler supersymmetric mirror pairs in the sense of Lau,Tseng and Yau starting from left-invariant affine structures on Lie groups. Applying this construction we explicitly find SYZ mirror symmetric partners of all known compact 6-dimensional completely solvable solvmanifolds that admit a semi-flat type IIA structure.

Keywords

Cite

@article{arxiv.2311.17899,
  title  = {SYZ mirror symmetry of solvmanifolds},
  author = {Lucio Bedulli and Alessandro Vannini},
  journal= {arXiv preprint arXiv:2311.17899},
  year   = {2024}
}

Comments

28 pages, 2 tables. References to related results have been added. Comments are welcome