On the geometry of string theory and particle physics

论弦理论和粒子物理的几何

• 批准号: 386269-2013
• 负责人: Bouchard, Vincent
• 金额: $ 3.28万
• 依托单位: University of Alberta
• 依托单位国家: 加拿大
• 项目类别: Subatomic Physics Envelope - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=572933
• 关键词: geometry; string; theory; particle; physics

Geometry is omnipresent in modern physics, particularly in string theory. On the one hand, if string theory is to describe Nature, one must be able to extract observable physics from it. Most of the actual phenomenological studies of string theory have been done by studying the geometry of what is known as string compactifications. On the other hand, from a mathematical standpoint, string theory has proved amazingly effective at producing new conjectures and theorems, by exploiting the crucial physical idea of string dualities. Many of these new results relate geometry to other areas of mathematics, such as topology and number theory. My research project focuses on the fascinating interface between geometry and string theory. I plan on investigating striking new results in mathematics that stem from a novel recursive structure discovered in a particular string duality known as mirror symmetry. I also plan on studying the geometry of heterotic compactifications and scattering amplitudes in gauge theories, in order to deepen our understanding of particle physics and string theory.

几何在现代物理学中无处不在，特别是在弦理论中。一方面，如果弦理论要描述自然，人们必须能够从中提取可观察到的物理。弦理论的大部分实际现象学研究都是通过研究弦紧凑的几何学来完成的。另一方面，从数学的角度来看，弦理论通过利用弦对偶这一关键的物理概念，在产生新的猜想和定理方面已被证明是惊人的有效。其中许多新结果将几何学与其他数学领域联系在一起，例如拓扑学和数论。 我的研究项目集中在几何和弦理论之间令人着迷的界面。我计划研究数学上的惊人新结果，这些结果源于在一种特殊的弦对偶中发现的一种新的递归结构，称为镜像对称。我还计划研究规范理论中的杂化紧致几何和散射幅度，以加深我们对粒子物理和弦理论的理解。