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?

研究提案“超对称和弦理论的粒子物理学和宇宙学”的主要目的是创建一个强大的英国研究团队，探索弦紧化的数学和物理。拟议的工作具有很强的跨学科性，并将有助于粒子物理学和宇宙学的发展。这得益于更广泛的国际合作，其中包括英国牛津大学和帝国理工学院、慕尼黑路德维希马克西米利安大学/马克斯普朗克研究所和德国汉堡大学/德西大学以及美国宾夕法尼亚大学和普林斯顿大学。因此，向 EPSRC 提出的这项提案还附有向德国 DFG 和美国 NSF 提出的相关提案。弦理论是物理学和数学交叉的一个研究领域。它与尖端数学相关并且确实启发了它，同时它仍然是统一物理理论最有希望的候选者。通过弦理论，几何学的研究（涵盖微分几何和代数几何的数学领域）与物理理论的属性直接相关，例如它们的粒子含量或相关的宇宙演化。例如，在某些结构中，欧拉数粗略地计算了几何中“孔”的数量，也决定了相关物理理论中基本粒子族的数量。这种联系导致了物理和数学之间富有成效的相互作用一方面应用先进的数学方法来分析弦理论模型，另一方面物理见解激发新的数学发展。拟议的国际研究主题是这一跨学科领域的核心，弦理论的进展至关重要。了解如何应用先进的数学方法具体的弦理论设置还需要进一步发展这些方法并创建新的数学结构在进行这些研究的过程中，所提出的计划的主要目标是为回答当代科学的主要问题之一奠定基础：弦理论确实是一个可行的物理学统一理论吗？