Geometry for String Model Building

弦模型构建的几何结构

基本信息

批准号：
EP/N007158/1
负责人：
Andre Lukas
金额：
$ 48.3万
依托单位：
University of Oxford
依托单位国家：
英国
项目类别：
Research Grant
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=EP%2FN007158%2F1
关键词：
Geometry String Model Building

项目摘要

The main purpose of the research proposal "The Particle Physics and Cosmology of Supersymmetry and String Theory" is to create a strong UK research effort exploring the mathematics and physics of string compactifications. The proposed work has strong interdisciplinary aspects and will feed into particle physics and cosmology. This is facilitated by a wider, international collaboration which involves Oxford University and Imperial College in the UK, Ludwig-Maximilian University/Max-Planck Institute Munich and University of Hamburg/Desy in Germany and the University of Pennsylvania and Princeton University in the US. Accordingly, this proposal to EPSRC is accompanied by related proposals to DFG in Germany and NSF in the US. String theory is an area of research at the interface between physics and mathematics. It relates to and has indeed inspired cutting edge mathematics and at the same time it remains the most promising candidate for a unifying physics theory. Via string theory the study of geometry - covered by the mathematical areas of differential and algebraic geometry - is directly related to properties of physical theories, such as their particle content or their associated cosmological evolution. For example, in some constructions, the Euler number, roughly counting the number ``holes" in the geometry, also determines the number of families of fundamental particles in the associated physical theory. This link has led to a fruitful interaction between physics and mathematics, with advanced mathematical methods being applied to analyse string theory models on the one hand and physical insights inspiring new mathematical developments on the other hand.The theme of the proposed international research is at the centre of this interdisciplinary area. Progress in string theory crucially relies on understanding how advanced mathematical methods can be applied in concrete string theory setting. It also requires further developing these methods as well as creating new mathematical structures. In pursuing these lines of investigation, the main goal of the proposed programme is to lay the groundwork for answering one of the main question in contemporary science: Is string theory indeed a viable unified theory of physics?

研究建议的主要目的“超对称性和弦理论的粒子物理学和宇宙学”是创建强大的英国研究工作，以探索弦乐紧凑的数学和物理学。拟议的工作具有较强的跨学科方面，并将以粒子物理和宇宙学为食。这是由更广泛的国际合作促进的，该合作包括英国的牛津大学和帝国学院，路德维希·马克西米利大学/麦克斯 - 普兰克学院慕尼黑和德国汉堡大学以及宾夕法尼亚大学和美国的普林斯顿大学。因此，对EPSRC的这一建议伴随着德国和美国国家安全局的DFG的相关建议。弦理论是物理与数学之间接口的研究领域。它与并确实启发了尖端数学，与此同时，它仍然是统一物理学理论的最有前途的候选人。通过字符串理论，几何学的研究 - 被差异和代数几何形状的数学区域覆盖 - 与物理理论的特性，例如它们的粒子含量或相关的宇宙学演化直接相关。例如，在某些结构中，欧拉数量大致计算了几何形状中的``孔''数字，还决定了相关的物理理论中基本粒子的家族数量。这种联系已导致物理和数学之间的富有成效的互动，并将其在一个手工学上分析的数学启发，并将其分析为新的数学，并将其分析为新的数学研究。在这个跨学科的领域的中心，弦理论的进步依赖于如何在具体的弦理论设置中应用高级数学方法。