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.

该学生将研究Quiver仪表理论中的主题，并将试图扩大有关该类别的超对称仪表理论的知识。近年来已经使用了Quiver仪表理论的技术来更好地了解各种量子标理论的调节空间的几何形状； Hasse图表，单子公式，颤动减法和加法，离散测量和超级Kähler商以及3D镜像对称性是一些示例。Quiver量规论也对数学的语言也具有重要意义 - Quiver语言对Quivers的语言 - Quivers的语言提供了不同的探针空间，并且经常提供了与数学的不同方法。例如，三个，五个和六个维度。在相关的brane设置中，汉纳尼 - 理工的过渡用于了解不同的阶段及其相关的物理。当前的工作包括在六个维度，超级引号和离散测量值的“负Brane”设置的扩展，并扩展了对不同理论的模量空间如何相互关系的理解。