String theory under geometric limits

几何极限下的弦理论

• 批准号: 2615874
• 金额: --
• 依托单位: University of Edinburgh
• 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-2615874
• 关键词: String; theory; under; geometric; limits

String theory is described classically as a sigma model with a target space (the string background) which is typically a lorentzian manifold with extra geometric data satisfying the field equations of some (super)gravity theory. Perturbative string theory on such a background is described by a two-dimensional conformal field theory with a BRST differential, whose cohomology can be identified with an instance of Feigin's semi-infinite cohomology of some extension of the Virasoro algebra. Some classical string backgrounds admit geometric limits resulting in a different background of the same string theory or a background of a different kind of string theory. The aim of the project to study the effect of geometric limits on the BRST cohomology. The concrete departing string theory and the limits to consider in this project will follow after some initial exploration.

弦理论被经典地描述为具有目标空间（弦背景）的西格玛模型，该目标空间通常是具有满足某些（超）引力理论的场方程的额外几何数据的洛伦兹流形。在这样的背景下，微扰弦理论被描述为具有BRST微分的二维共形场论，其上同调可以用Virasoro代数的某些扩展的Feigin半无限上同调的实例来确定。某些经典弦理论的背景存在几何极限，导致同一种弦理论的背景不同，或者不同种类的弦理论的背景不同。该项目的目的是研究几何极限对BRST上同调的影响。具体的分离弦理论和在这个项目中要考虑的限制将在一些初步的探索之后。