SYZ mirror symmetry of solvmanifolds
arXiv:2311.17899 · doi:10.1007/s10231-024-01487-3
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.
28 pages, 2 tables. References to related results have been added. Comments are welcome