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SYZ mirror symmetry of solvmanifolds

Published 29 Nov 2023 in math.DG and math.SG | (2311.17899v2)

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.

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