Quiver Gauge Theories

箭袋规范理论

• 批准号: 2275556
• 金额: --
• 依托单位: University of Liverpool
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2275556
• 关键词: Quiver; Gauge; Theories

The student will study the geometry and the related physics of Coulomb and Higgs branches of certain supersymmetric field theories in three dimensions. The main tools will be the considerations of nilpotent orbits and string theory brane configurations. Changes in brane configurations are mapped into Kraft-Procesi transitions which connect various nilpotent orbits. The moduli spaces of three dimensional theories are connect to moduli spaces of five and six dimensional theories so relevant information could be collected about the later theories. The student will study supersymmetric field theories in dimensions between three and six. He will continue by getting familiar with quiver gauge theories of good, bad and ugly type, depending on the rank of the gauge group and the number of fundamental flavours. A thorough study of string theory will be required, with emphasis on aspects like brane configurations and their associated field theories. The final goal is to describe in detail quiver gauge theories which were not explored in the past like the ones for non simply laced quivers or E type quivers, together with relations to higher dimensional theories.

学生将在三维空间中研究某些超对称场论的库仑和希格斯分支的几何和相关物理。主要工具将是对幂零轨道和弦理论膜结构的考虑。膜构型的变化被映射到连接各种幂零轨道的 Kraft-Procesi 跃迁。三维理论的模空间与五维和六维理论的模空间相连，因此可以收集有关后续理论的相关信息。学生将学习三到六维的超对称场论。他将继续熟悉箭袋规范理论的好、坏和丑陋类型，具体取决于规范组的等级和基本风味的数量。需要对弦理论进行彻底的研究，重点是膜构型及其相关场论等方面。最终目标是详细描述过去没有探索过的箭袋规范理论，例如非简单系带箭袋或 E 型箭袋的理论，以及与高维理论的关系。