Quiver Gauge Theory, String Theory and Quantum Field Theory.

箭袋规范理论、弦理论和量子场论。

• 批准号: 2890913
• 金额: --
• 依托单位: Imperial College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2890913
• 关键词: Quiver; Gauge; Theory; String; Quantum

The student will study topics in quiver gauge theory and will attempt to expand the knowledge on this class of supersymmetric gauge theories with 8 supercharges.The techniques of quiver gauge theory have been used in recent years to better understand the geometry of the moduli space of various quantum gauge theories; Hasse diagrams, the monopole formula, quiver subtraction and addition, discrete gauging and hyper-Kähler quotients, and 3d mirror symmetry are some such examples.Quiver gauge theory also has important implications for mathematics - the language of quivers provides a different channel to probe geometric spaces and often offers a different perspective to the formal approach of the mathematician.In the past few years, quivers have been used to study gauge theories in, for example, three, five and six dimensions. In the associated brane setups, the Hanany-Witten transition is used to understand different phases and their associated physics. Current work includes extensions to the 'negative brane' setup in six dimensions, hyper-Kähler quotients and discrete gauging, expanding understanding of how the moduli spaces of different theories relate to each other.

学生将学习箭袋规范理论的主题，并尝试扩展有关具有 8 个增压的超对称规范理论的知识。近年来，箭袋规范理论的技术已用于更好地理解各种模空间的几何形状。量子规范理论；哈斯图、单极子公式、箭袋减法和加法、离散计量和超凯勒商以及 3D 镜像对称都是这样的例子。箭袋规范理论也有对数学的重要影响 - 箭袋语言提供了探索几何空间的不同渠道，并且通常为数学家的形式方法提供了不同的视角。在过去的几年中，箭袋已被用来研究规范理论，例如，在相关的膜设置中，哈纳尼-维滕跃迁用于理解不同的相及其相关物理，当前的工作包括对六维“负膜”设置的扩展，即超凯勒商。和离散测量，扩展对不同理论的模空间如何相互关联的理解。