Almost contact structures on manifolds with a G2 structure

被引：0

作者：

de la Ossa, Xenia ^{[1
]}

Larfors, Magdalena ^{[2
]}

Magill, Matthew ^{[2
]}

机构：

[1] Univ Oxford, Math Inst, Oxford OX2 6GG, England

[2] Uppsala Univ, Dept Phys & Astron, SE-75120 Uppsala, Sweden

来源：

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2022年 / 26卷 / 01期

关键词：

VECTOR-FIELDS; MODULI SPACES; COMPACTIFICATIONS; SUBMANIFOLDS; CONSTRUCTION; EQUATIONS; GEOMETRY;

D O I：

暂无

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We review the construction of almost contact metric (three-) struc-tures, abbreviated ACM(3)S, 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) struc-ture associated to an ACMS and apply these computations to het -erotic 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.

引用

页码：143 / 216

页数：74

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