RUI: Supersymmetric Gauge Theory and Dirichlet-Branes

RUI：超对称规范理论和狄利克雷-布拉内斯

• 批准号: 0140281
• 负责人: Stephen Naculich
• 金额: $ 10.2万
• 依托单位: Bowdoin College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-10-01 至 2005-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0140281&HistoricalAwards=false
• 关键词: RUI; Supersymmetric; Gauge; Theory; Dirichlet

The primary aim of the project is to explore connections between theories describing two different fundamental forces, namely, the nuclear force and gravity. The strong and weak nuclear forces are described by gauge theories, whereas quantum gravity is thought to be described by string theory. String theory, however, contains not only strings but also D-branes, extended objects whose properties involve supersymmetric gauge theories, thus providing the connection between the two types of theory. Specifically, the project focuses on the properties of particular string theories containing D-branes and orientifold planes; in these theories, the supersymmetric gauge theories describing the D-branes include the analogs of quarks.The interest of this line of research is that questions impossible to answer in one theory may be easy to answer using the other theory, and vice versa, allowing progress to be made in both. For example, well-understood properties of gauge theory could lead to a better understanding of string theory, and thus quantum gravity, which has long been an unsolved problem. Conversely, string theory could be used to probe gauge theories in the poorly understood strong-coupling regime. Ultimately, this could explain the phenomenon of quark confinement (that is, the fact that free quarks cannot be observed) and yield a quantitative understanding of the structure of protons, nuclei, etc., in terms of the properties of their constituent quarks.

该项目的主要目的是探索描述两种不同基本力（即核力和重力）的理论之间的联系。 强核力和弱核力由规范场理论描述，而量子引力被认为由弦理论描述。 然而，弦理论不仅包含弦，还包含 D 膜，即其属性涉及超对称规范理论的扩展对象，从而提供了两种理论之间的联系。 具体来说，该项目重点关注包含 D 膜和东方折叠平面的特定弦理论的性质； 在这些理论中，描述 D 膜的超对称规范理论包括夸克的类似物。这方面研究的有趣之处在于，用一种理论无法回答的问题可能很容易用另一种理论来回答，反之亦然，从而使两者都取得进展。 例如，充分理解规范理论的性质可以使人们更好地理解弦理论，从而更好地理解量子引力，而这长期以来一直是一个未解决的问题。 相反，弦理论可用于探索人们知之甚少的强耦合体系中的规范理论。 最终，这可以解释夸克禁闭现象（即无法观察到自由夸克的事实），并根据构成夸克的性质对质子、原子核等的结构进行定量理解。