G2 Compactifications: Higgs bundles, Geometry and Phenomenological Implications

本计画的目标是研究弦理论紧化的粒子现象学意义。我们将特别考虑G2流形上m理论的紧化。第一步是理解所谓的局部模型，即G2中关联三周期的希格斯束。这已经让我们深入了解了可能的低能物理。一个重要的技术进步将是分析非阿贝尔规范配置在这个设置。在项目的第二部分，这些局部模型被提升到紧凑的G2流形，模稳定，超对称破缺和由此产生的四维粒子物理方面将进行分析。鉴于大型强子对撞机的存在，这一点尤为重要。几年后，它将为标准模型之外的物理学提供更多的见解。

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.