具有G_2结构的流形上的几乎接触结构

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL Advances in Theoretical and Mathematical Physics Pub Date : 2021-01-29 DOI:10.4310/atmp.2022.v26.n1.a3

Xenia de la Ossa, M. Larfors, Matthew Magill

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引用次数: 5

摘要

本文讨论了具有G2结构的流形上几乎接触度量(三)结构的构造。这些对于弦和m理论中的某些超对称构型是有意义的。我们计算了与ACMS相关的SU(3)结构的扭转，并将这些计算应用于异质G2系统和超对称增强。我们发起了acm3s空间的研究，它是一个具有局部积结构和有趣拓扑特征的无限维空间。观察到acm3s与结合子流形和协结合子流形之间的诱人联系。ar X iv:2 10 1。[au:] [au:] [au:] [au:

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Almost contact structures on manifolds with a $G_2$ structure

We review the construction of almost contact metric (three-) structures on manifolds with a G2 structure. These are of interest for certain supersymmetric configurations in string and M-theory. We compute the torsion of the SU(3) structure associated to an ACMS and apply these computations to heterotic G2 systems and supersymmetry enhancement. We initiate the study of the space of ACM3Ss, which is an infinite dimensional space with a local product structure and interesting topological features. Tantalising links between ACM3Ss and associative and coassociative submanifolds are observed. ar X iv :2 10 1. 12 60 5v 1 [ he pth ] 2 9 Ja n 20 21

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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.

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