arXiv:2311.17899 Abstract | arXiv Analytics

arXiv:2311.17899 [math.DG]Abstract References Reviews Resources

SYZ mirror symmetry of solvmanifolds

Published 2023-11-29Version 1

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.

Comments: 28 pages, 2 tables. Comments are welcome

Categories: math.DG, math.SG

Subjects: 22E25, 53D37, 53Z05, 53A15

Keywords: syz mirror symmetry, solvmanifolds, syz mirror symmetric partners, non-kaehler supersymmetric mirror pairs, semi-flat type iia structure

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