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.

字符串理论经典地描述为具有目标空间（字符串背景）的Sigma模型，该模型通常是Lorentzian歧管，其额外的几何数据满足了某些（超级）重力理论的磁场方程。这种背景上的扰动弦理论由具有BRST差异的二维形成式域理论来描述，其同胞可以通过Feigin的半侵权人群的某些延伸的virasoro代数延伸的实例来识别。一些经典的字符串背景接收几何限制，导致同一字符串理论的不同背景或不同种类的字符串理论的背景。该项目的目的是研究几何限制对BRST共同体的影响。在初步探索之后，将遵循具体的弦乐理论和要考虑的限制。