학술논문

SYZ mirror symmetry of solvmanifolds
Document Type
Working Paper
Source
Subject
Mathematics - Differential Geometry
Mathematics - Symplectic Geometry
22E25, 53D37, 53Z05, 53A15
Language
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.
Comment: 28 pages, 2 tables. References to related results have been added. Comments are welcome