Twistors and Duality at the String Scale

弦音阶上的扭曲和二元性

• 批准号: 2602287
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2602287
• 关键词: Twistors; Duality; String; Scale

Duality symmetries have played a striking role in developing our understanding of String Theory over the past few decades. Perhaps the most striking has been the AdS/CFT correspondence which posits an equivalence at the quantum level between conformal gauge theories without gravity, and String theories in asymptotically AdS space. Though there are many examples of this correspondence, the detailed mechanism by which this equivalence is realised is still mysterious, largely due to an incomplete understanding of the String Theory when the string tension is small compared to other scales in the theory. Recently, progress has been made in understanding string theory in AdS_3 backgrounds where the extended nature of the string becomes important. These models have a striking, yet still mysterious, relationship to Twistor theory. This project will investigate this unexpected relationship between Twistor string constructions and string theory in the small tension limit. Of particular interest will be understanding the role Twistor theory plays in describing the mathematical structure of spacetime when stringy effects become important and conventional geometric intuition from supergravity is no longer adequate.

在过去的几十年里，对偶对称性在发展我们对弦理论的理解方面发挥了显著的作用。也许最引人注目的是AdS/CFT对应，它假定无重力的共形规范理论与渐近AdS空间中的弦理论在量子水平上是等价的。尽管有许多这种对应的例子，但实现这种等效的详细机制仍然是神秘的，这主要是由于对弦理论的不完整理解，当弦张力与理论中的其他尺度相比较小时。近年来，在AdS_3背景下对弦理论的理解取得了进展，其中弦的扩展性质变得重要。这些模型与扭扭理论有着惊人而又神秘的关系。本项目将研究在小张力极限下扭弦结构和弦理论之间的这种意想不到的关系。当弦效应变得重要，传统的超重力几何直觉不再足够时，理解扭曲理论在描述时空数学结构中所起的作用将是特别有趣的。