Theoretical Physics

理论物理

• 批准号: 0140311
• 负责人: Igor Klebanov
• 金额: $ 4.5万
• 依托单位: Princeton University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-10-01 至 2004-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0140311&HistoricalAwards=false
• 关键词: Theoretical; Physics

The scaling limit of open strings propagating in a neutral electromagnetic background is known to give rise to non-commutative gauge theories (introduced by mathematicians in the context of non-commutative geometry), but many interesting questions remain. This research programs investigates non-commutativity in more general string backgrounds. In particular, non-commutativity in charged strings (as opposed to neutral strings) is studied, as well as the related issues of generalization of the star product, and of the interpretation of the corresponding scaling limit in the D-brane language. Non-commutativity in solvable backgrounds of the plane wave type (the Nappi-Witten model is one example) will be also investigated. The latter are time dependent backgrounds, and are very interesting in their own merits, and the center of much current research. The physics question one aims to answer is how intrinsic to string theory is non-commutativity of space-time variables. The possibility that space-time coordinates might not commute at the string scale is a very radical departure from our current understanding of space-time, and points to a novel type of uncertainty principle. It might induce deviation from smoothness of space-time at small distances, and possible modifications to the inflationary perturbation spectrum.

已知在中性电磁背景中繁殖的开放字符串的缩放限制引起了非交通量规的理论（数学家在非交易性几何形状的背景下引入），但仍然存在许多有趣的问题。该研究计划在更一般的字符串背景下研究了非交换性。特别是，研究了带电字符串（与中性字符串相对）的非交换性，以及恒星产品概括的相关问题，以及在D-Brane语言中对相应缩放限制的解释。 还将研究平面波类型的可解决背景的非交换性（NAPPI-Witten模型是一个例子）。 后者是时间依赖的背景，在自己的优点和当前研究的中心是非常有趣的。物理问题的目的是回答弦理论的固有性是时空变量的非共同性。时空坐标可能不会在弦量表上通勤的可能性与我们当前对时空的理解非常根本性，并指出了一种新型的不确定性原理。 它可能会引起远距离时空的平稳性的偏差，并可能对通货膨胀的扰动光谱进行修改。