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SYZ mirror symmetry of solvmanifolds

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 14 Aug 2024Embargo end date: 01 Jan 2023 Italy Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata (1923 -), volume 204, pages 359-385 (issn: 0373-3114, eissn: 1618-1891, Copyright policy )
Authors: Bedulli, Lucio; Vannini, Alessandro;

doi: 10.1007/s10231-024-01487-3 , 10.48550/arxiv.2311.17899

arXiv: http://arxiv.org/abs/2311.17899

handle: 11697/252179

SYZ mirror symmetry of solvmanifolds

Abstract

Abstract We present an effective construction of non-Kähler supersymmetric mirror pairs in the sense of Lau, Tseng and Yau (Commun. Math. Phys. 340:145–170, 2015) 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.

Country
Italy
Related Organizations
Keywords

Mathematics - Differential Geometry, solvmanifolds, 22E25; 53A15; 53D37; 53Z05; Affine structures; Lagrangian fibrations; Mirror symmetry; Non-Kähler geometry; Solvmanifolds; SYZ conjecture, Lagrangian fibrations, Nilpotent and solvable Lie groups, non-Kähler geometry, Affine differential geometry, affine structures, mirror symmetry, Applications of differential geometry to physics, SYZ conjecture, Differential Geometry (math.DG), Mathematics - Symplectic Geometry, 22E25, 53D37, 53Z05, 53A15, FOS: Mathematics, Symplectic Geometry (math.SG), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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hybrid