del Pezzo表面SYZ振动的复杂仿射结构研究

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Theoretical and Mathematical Physics Pub Date : 2020-05-11 DOI:10.4310/atmp.2022.v26.n4.a3

Siu-Cheong Lau, Tsung-Ju Lee, Yu-Shen Lin

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引用次数: 5

摘要

给定任意光滑三次曲线$E\subseteq \mathbb{P}^2$，我们证明了Collins—Jacob—Lin arXiv:1904.08363构造的特殊lagrange纤维$\mathbb{P}^2\setminus E$的复杂仿射结构与Carl—Pomperla—Siebert构造镜面所用的仿射结构是一致的。此外，我们用Floer-theoretical glue method构造了一个浸入式lagrangian的镜面，结果与Carl- Pomperla- Siebert构造的镜面一致。

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On the complex affine structures of SYZ fibration of del Pezzo surfaces

Given any smooth cubic curve $E\subseteq \mathbb{P}^2$, we show that the complex affine structure of the special Lagrangian fibration of $\mathbb{P}^2\setminus E$ constructed by Collins--Jacob--Lin arXiv:1904.08363 coincides with the affine structure used in Carl--Pomperla--Siebert for constructing mirror. Moreover, we use the Floer-theoretical gluing method to construct a mirror using immersed Lagrangians, which is shown to agree with the mirror constructed by Carl--Pomperla--Siebert.

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来源期刊

Advances in Theoretical and Mathematical Physics 物理-物理：粒子与场物理

CiteScore

2.20

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.