SYZ mirror symmetry of solvmanifolds

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-08-14 DOI:10.1007/s10231-024-01487-3

Lucio Bedulli, Alessandro Vannini

引用次数: 0

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.

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索曼菲尔德的 SYZ 镜像对称性

我们在 Lau、Tseng 和 Yau（Commun. Math. Phys. 340:145-170, 2015）的意义上提出了一种非凯勒超对称镜像对的有效构造，其出发点是李群上的左不变仿射结构。应用这种构造，我们明确地找到了所有已知紧凑 6 维完全可解 solvmanifolds 的 SYZ 镜对称伙伴，它们都承认半平面 IIA 型结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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