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: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=528796
• 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.

几何学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，就必须能够从中提取出可观测的物理，弦理论的大多数实际唯象学研究都是通过研究所谓弦紧化的几何来完成的。另一方面，从数学的角度来看，弦理论已经证明，通过利用弦对偶的关键物理思想，它在产生新的理论和定理方面是惊人的有效。这些新的结果中有许多与几何学有关的数学领域，如拓扑学和数论。