G2 Compactifications: Higgs bundles, Geometry and Phenomenological Implications

G2 紧化：希格斯丛、几何和现象学含义

• 批准号: 1668516
• 金额: --
• 依托单位: King's College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2015
• 资助国家: 英国
• 起止时间: 2015 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1668516
• 关键词: G2; Compactifications; Higgs; bundles; Geometry

The goal of this project is to study particle phenomenological implications of string theory compactifications. In particular we will consider compactifications of M-theory on G2 manifolds. The initial step is to understand the so-called local model in terms of a Higgs bundle on an associative three-cycle in G2. This will already give us insight into the possible low energy physics. One important technical advance will be the analysis of non-abelian gauge configurations in this setup. In the second part of the project these local models are lifted to compact G2 manifolds, and aspects of moduli stabilization, supersymmetry breaking and the resulting four dimensional particle physics will be analyzed. This is of particular relevance in view of the LHC, which in a few years time will provide more insights into physics beyond the Standard Model.

该项目的目标是研究弦理论紧化的粒子现象学含义。特别是，我们将考虑 M 理论在 G2 流形上的紧化。第一步是根据 G2 中关联三周期上的希格斯丛来理解所谓的局部模型。这已经让我们深入了解可能的低能物理。一项重要的技术进步将是在此设置中对非阿贝尔规范配置的分析。在该项目的第二部分中，这些局部模型被提升为紧致 G2 流形，并对模稳定、超对称破缺以及由此产生的四维粒子物理等方面进行分析。这对于大型强子对撞机来说尤其重要，几年后大型强子对撞机将提供标准模型之外的更多物理学见解。