{ "id": "2311.17899", "version": "v1", "published": "2023-11-29T18:51:46.000Z", "updated": "2023-11-29T18:51:46.000Z", "title": "SYZ mirror symmetry of solvmanifolds", "authors": [ "Lucio Bedulli", "Alessandro Vannini" ], "comment": "28 pages, 2 tables. Comments are welcome", "categories": [ "math.DG", "math.SG" ], "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.", "revisions": [ { "version": "v1", "updated": "2023-11-29T18:51:46.000Z" } ], "analyses": { "subjects": [ "22E25", "53D37", "53Z05", "53A15" ], "keywords": [ "syz mirror symmetry", "solvmanifolds", "syz mirror symmetric partners", "non-kaehler supersymmetric mirror pairs", "semi-flat type iia structure" ], "note": { "typesetting": "TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable" } } }